Vol 10 Issue 2 October 2022-March 2023

Abstract: In this paper, we will display Adomian decomposition method for solving second-order ordinary differential equations with constant coefficient. The Adomian decomposition method(ADM) is a creative and effective method for exact solution. It is important to note that a lot of research work has been devoted to the application of the Adomian decomposition method to a wide class of linear and non-linear problems. Some examples were presented to show the ability of method for linear and non-linear ordinary differential equations.

Keywords: Adomian decomposition method; second-order ordinary differential equations.

Title: Adomian Decomposition Method to Solve the Second Order Ordinary Differential Equations with Constant Coefficient

Author: Mohammed Ali Qasem Mohsen, Yahya Qaid Hasan

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 94-99

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Published Date: 28-February-2023

Abstract: Scientists and engineers have conducted a considerable lot of experimental and theoretical study to increase the productivity of industrial operations. Experimental evidence from engineers and scientists shows that heat transfer is necessary for excellent multi scale production naturally, continuous phase liquids are used to achieve thermal characteristics. However, due to the limitations of heat transmission, their significance is constrained. We present a mathematical model for unsteady heat and mass transfer in MHD flow of Nano-fluid with buoyancy and variable thermal conductivity. Using self-similar variables, the coupled non-linear system of equations governing the boundary-layer flows of Nano-fluids were converted into a two-point boundary value problem. The dsolve command with the numeric option on a real-valued two-point boundary value problem (BVP) is used to finds a numerical solution for our system of equations. Computation is performed in both hardware precision and arbitrary precision. The output of the computation is plotted using the ode plot generator odeplot and displayed using Maple plot display, and wall rate transfer is extracted. From the result, increase in thermal buoyancy, unsteadiness parameter and suction parameter are seen to increase velocity distributions. Temperature boundary layer is enhanced with increase in unsteadiness parameter, Brownian motion parameter and Eckert number while radiation, thermophoretic diffusion parameter, reactivity parameter, thermal conductivity and suction enhances species concentration.

Keywords: Unsteady, Heat and Mass Transfer, Nano-Fluids, Buoyance, Variable Thermal Conduction, thermo-gravitational, Navier Stokes, magneto hydrodynamics.

Title: Unsteady Heat and Mass Transfer MHD Flow of Nano-Fluids with Buoyancy and Variable Thermal Conductivity

Author: Akindele M. Okedoye, Azeez A. Waheed, Olufemi. A. Akinyemi

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 80-93

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Published Date: 23-February-2023

Abstract: In this paper we consider the system of ‘l’ parallel channels with a finite source. The queue discipline is first-come-first-served, and the problem is solved by using matrix calculus for the time dependent case. Some useful results in a concise manner have been given. Lastly, the procedure for time dependent case has been illustrated by a simple example.

Keywords: Multiple Parallel Channels, system, dependent case, simple example.

Title: On Multiple Parallel Channels with a Finite Source

Author: Dr. Bishmbher Dayal

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 75-79

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Published Date: 22-February-2023

Abstract: In recent years, there has been a greater emphasis on the forecasting accuracy of heteroscedastic models. Instead of estimating the returns volatility using a generalised autoregressive conditional heteroscedastic model ( model), this study separates the returns internal components from the external trend first using a decomposition method called “external trend and internal components analysis method” (ETICA), then estimates the returns volatility using a . The study's goal is to determine whether this separation has an effect on the prediction accuracy of the volatility of S&P 500, NASDAQ and Dow Jones stock indices. To explore the ETICA method effect, the root mean squared error has been used to compare the prediction accuracy before and after decomposition. The findings show that on average, the RMSE results were found to be lower before decomposition which means that stock returns had a higher prediction accuracy.

Keywords: GARCH model, decomposition method, S&P 500, NASDAQ, Dow Jones, RMSE.

Title: Improve the forecasting accuracy of a GARCH model using a decomposition method

Author: Dioubi Fatene, Loudahi Lamia

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 57-74

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Published Date: 17-February-2023

Abstract: The statistic was wrongly founded. The mathematical hope of the function f(x) must not be multiplied by the function f(x), nor must its moments.

They are taken as accurate philosophical conclusions for mathematics and statistics. Mathematics and statistics reflect states or movements of the universe and depend on philosophy.

They are different the arithmetic mean, dispersion, curvature and asymmetry of the normal distribution, such as normal, binomial and Poisson distribution.

Some formulas of combinatorial analysis are explained differently.

Keywords: philosophical conclusions, mathematics and statistics.

Title: CORRECTION OF STATISTICS

Author: ALEKOS CHARALAMPOPOULOS

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 52-56

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Website: www.researchpublish.com

Published Date: 09-February-2023

Abstract: The universes, the matter, are finite, so there is a few in matter, which Democritus called an atom. The consequence of this is that, in mathematics that reflects matter, there is no limit tending to zero, so calculus is completely wrong! So, we need discrete mathematics, with differences that do not tend to zero.

There are two types of differences, two ways to express the difference of a variable in a function. In both ways we are led to different integrals and derivatives, which both ways of difference give. These have specific applications in physics and statistics and in the other sciences.

The results of discrete mathematics are very different from that of calculus, which was applied and bridges and spaceships fell and nuclear accidents occurred!

Discrete mathematics is the result of tight, consistent and realistic logic, which requires complete consistency with the existence of matter and its structure.  

Keywords: discrete mathematics, bridges and spaceships fell, nuclear accidents, realistic logic.       

Title: DERIVATIVES AND INTEGRALS OF DISCRETE MATHEMATICS

Author: ALEKOS CHARALAMPOPOULOS

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 47-51

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Published Date: 01-January-2023

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we use differentiation under fractional integral sign to evaluate two improper fractional integrals. Integration by parts for fractional calculus and a new multiplication of fractional analytic functions play important roles in this article. In fact, our results are generalizations of the results in ordinary calculus.

Keywords: Jumarie type of R-L fractional calculus, differentiation under fractional integral sign, improper fractional integrals, integration by parts, new multiplication, fractional analytic functions.

Title: Application of Differentiation under Fractional Integral Sign

Author: Chii-Huei Yu

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 40-46

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Published Date: 27-December-2022

Abstract: Based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, this paper studies the method of fractional variation of parameter. The product rule for fractional derivatives and a new multiplication of fractional analytic functions play important roles in this article. In addition, two examples are provided to illustrate how to use the method of fractional variation of parameter to find the particular solution of fractional differential equations. In fact, our results are generalizations of these results in ordinary differential equations.

Keywords: Jumarie’s modified R-L fractional calculus, Method of fractional variation of parameter, Product rule, New multiplication, Fractional analytic functions, Particular solution, Fractional differential equations.

Title: Method of Fractional Variation of Parameter and Its Applications

Author: Chii-Huei Yu

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 33-39

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Published Date: 26-October-2022

Abstract: The methanolic extracts of leaves and flowers of Mesua Ferrea have exhibited significant broad spectrum antimicrobial activity. Further work is being carried out to isolate and identify the active constituents of the plant responsible for antimicrobial activity. The purpose of our research was methanolic extract of the plant was qualitatively investigated for phytochemicals using standard procedures which revealed the presence of various important bioactive chemical entities.

Keywords: bioactive, phytochemicals, Mesua Ferrea.

Title: Studies on Phytochemical investigation of Medicinal Plant Mesua Ferrea

Author: Mr. Naveen Chauhan, Dr. Arti Chaurasia

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 27-32

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Published Date: 20-October-2022

Abstract: proves that there is a para-orbital velocity vpo=2πR0/T (1), (by definition), a para-centripetal and an orbital. The centripetal acceleration of established physics in all cases, turned out to be F=mvpo2/R0, with an infinitesimal calculus, which has already been strongly questioned. But this force, which is actually para-centripetal, is Fpo=mvpo/T and based on (1) Fpo=mvpo2/2πR0. Mathematics is unshakable and sends bohr's theory of the hydrogen atom and Shcroedinger's theory and Newton's theory of the planetary system into error. Instead of para-centripetal acceleration in the atom or planetary system, the centripetal system should now be used, which is ac={(2π+4)/2π}ω2R0, And there is also a small acceleration, which is neutralized by friction force and ether deceleration. The square of force and acceleration that develops in a periodic motion, is maintained as is the mechanical energy, which alternates between dynamics and kinetics.

Keywords: Unspoiled mathematics, mechanical energy, dynamics and kinetics.

Title: ON THE FORCES AND SPEEDS OF SIMPLE HARMONIOUS MOVEMENT AND THE PRINCIPLE OF CONSERVATION

Author: ALEKOS CHARALAMPOPOULOS

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 23-26

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Published Date: 19-October-2022

Abstract: In this paper, we apply the Adomian decomposition method (ADM) and Modified decomposition method (MDM) on two different types of nonlinear partial differential equations (PDEs), has been solved by using the homotopy perturbation method combined with new transform (NTHPM). But after solved by (MADM) we found (MADM) has less of computational work than (NTHPM), more effective, powerful and simple than (NTHPM).

Keywords: Systems of nonlinear partial differential equations, Adomian decomposition method, Modified decomposition method, homotopy perturbation method combined with new transform.

Title: Using Adomian decomposition methods for solving systems of nonlinear partial differential equations

Author: Abdallah Habila Ali, Abrar Yousif Elriyah

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 14-22

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Website: www.researchpublish.com

Published Date: 10-October-2022

Abstract: The Szego projection of tube domains over irreducible symmetric cones is unbounded in L^(1+ϵ). Indeed, this is a consequence of the fact that the characteristic function of a disc is not a Fourier multiplier, a fundamental theorem proved by C . Fefferman in the 70 ' s . The same problem, related to the Bergman projection, deserves a different approach. In this survey, based on joint work of the author with D. Bekolle , G .Garrigos , M . Peloso and F . Ricci , we give partial results on the range of 1+ϵ for which it is bounded . We also show that there are two equivalent problems, of independent interest . One is a generalization of Hardy inequality for holomorphic functions .The other one is the characterization of the boundary values of functions in the Bergman spaces in terms of an adapted Littlewood –Paley theory . This last point of view leads naturally to extend the study to spaces with mixed norm as well.

Keywords: Whitney decomposition; Symmetric cone; Bergman projector; Littlewood – Paley; Hardy inequality.

Title: Three Related Problems of Bergman Spaces of Tube Domains over Symmetric Cones

Author: Sami Ali, Obaid.B. A. A, Ahmed Sufyan Abakar, Shawgy Hussein

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

Vol. 10, Issue 2, October 2022 - March 2023

Page No: 1-13

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Published Date: 07-October-2022