Approximate Solution of 2-Dimensional VO Linear Fractional Partial Differential Equation

Abstract

The non-polynomial spline method has been used to solving 2-dimensional variable-order(VO) fractional partial differential equations (FPDE). For VO fractional derivative, described in the sense of the Caputo. The main objective of this study and advantage of the proposed method is to investigate a public approximation for the frequency of the trigonometric functions of the non-polynomial part of the spline function. The powerful algorithm of the proposed method gives high accuracy results.