# Improved Rotated Finite Difference Method for Solving Fractional Elliptic Partial Differential Equations

## Keywords:

Rotated Finite Difference Approximation Method, Fractional Elliptic Partial Differential Equations.## Abstract

Real life problems with fractional partial differential equations (FPDE's) are of great importance, since fractional differential equations accumulate the whole information of the function in a weighted form. This has many applications in physics, chemistry, engineering, etc. For that reason, we need a method for solving such equations, effectively, easy use and applied for different problems. The objective of this paper is to solve fractional elliptic partial differential equations, by using new accelerated version of rotated five point’s approximation method. Experiment results of the test problem are given in order to confirm the superiority of our proposed method.

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*American Scientific Research Journal for Engineering, Technology, and Sciences*,

*26*(1), 261–270. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/2216

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