Highly accurate technique for solving distributed-order time-fractional-sub-diffusion equations of fourth order

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Abdelkawy, MA (Author) Other; Babatin, MM (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: COMPUTATIONAL & APPLIED MATHEMATICS

Vol. 39

ISSN: 1807-0302

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 4 Citations

Other information

Authenticus ID: P-00R-RJT

DOI: 10.1007/s40314-020-1070-7

Abstract (EN): This paper presents a new method for calculating the numerical solution of distributed-order time-fractional-sub-diffusion equations (DO-TFSDE) of fourth order. The method extends the shifted fractional Jacobi (SFJ) collocation scheme for discretizing both the time and space variables. The approximate solution is expressed as a finite expansion of SFJ polynomials whose derivatives are evaluated at the SFJ quadrature points. The process yields a system of algebraic equations that are solved analytically. The new method is compared with alternative numerical algorithms when solving different types of DO-TFSDE. The results show that the proposed method exhibits superior accuracy with an exponential convergence rate.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22