Journal Article

·2022 OPEN ACCESS

Solving nonlinear fractional PDEs using novel wavelet collocation method

Melih Çinar YTU , Aydın Seçer YTU , Mustafa Bayram YTU

New Trends in Mathematical Science

Abstract

In this paper, we consider an effective technique based on wavelet collation method for solving time fractional ChafeeInfante equation. We transform the fractional differential equation to an algebraic equations system by using wavelet operational matrices of fractional integrals. We give an illustrative example to show the applicability and effectiveness of the method. We compare the exact and wavelet solutions in a table and figure. The results show that the method easily applicable to fractional differential equations

Keywords

Wavelet Collocation (remote sensing) Nonlinear system Applied mathematics Mathematics Computer science Physics Artificial intelligence Machine learning

Subject Areas

Fractional Differential Equations Solutions ·Modeling and Simulation ·Physical Sciences
Iterative Methods for Nonlinear Equations ·Numerical Analysis ·Physical Sciences

Citations by Year