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Numerical Solution of Partial Differential Equations with Fractional Variable Coefficients Using New Iterative Method (NIM)
Author(s) -
K. I. Falade,
Tiamiyu A.T Tiamiyu A.T
Publication year - 2020
Publication title -
international journal of mathematical sciences and computing
Language(s) - English
Resource type - Journals
eISSN - 2310-9033
pISSN - 2310-9025
DOI - 10.5815/ijmsc.2020.03.02
Subject(s) - variable (mathematics) , mathematics , numerical analysis , partial differential equation , representation (politics) , differential equation , scheme (mathematics) , iterative method , computer science , mathematical analysis , algorithm , politics , political science , law
In this paper, we studied to obtain numerical solutions of partial differential equations with fractional variable coefficient by MAPLE 18 software algorithm on New Iterative Method. We examined and investigated behaviours of the fractional variable coefficients (Even and Odd) on first order partial differential equation; we obtain numerical solution and plot 2D/3D graphs representation of eight (8) cases for the study of the sequential trend of the fractional coefficients. The simplicity and the accuracy of the proposed numerical scheme are verified. More numerical examples will be used in the future for further testing the ability of the proposed scheme for solving some classical problems in engineering sciences.

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