The Numerical Technique Based on Shifted Jacobi-Gauss-Lobatto Polynomials for Solving Two Dimensional Multi-Space Fractional Bioheat Equations

Authors

Hameeda Oda Al-Humedi1, Department Mathematics, Education College for Pure Science, Basrah, Iraq.Follow
Firas Amer Al-Saadawi, Department Mathematics, Open Education College in Basrah, Basrah, IraqFollow

Abstract

This article deals with the approximate algorithm for two dimensional multi-space fractional bioheat equations (M-SFBHE). The application of the collection method will be expanding for presenting a numerical technique for solving M-SFBHE based on “shifted Jacobi-Gauss-Labatto polynomials” (SJ-GL-Ps) in the matrix form. The Caputo formula has been utilized to approximate the fractional derivative and to demonstrate its usefulness and accuracy, the proposed methodology was applied in two examples. The numerical results revealed that the used approach is very effective and gives high accuracy and good convergence.

Keywords

Accuracy, Collocation method, Shifted Jacobi-Gauss-Lobatto polynomials, Two dimensional fractional bioheat equation.

Article Type

Article

How to Cite this Article

Oda Al-Humedi1, Hameeda and Al-Saadawi, Firas Amer (2020) "The Numerical Technique Based on Shifted Jacobi-Gauss-Lobatto Polynomials for Solving Two Dimensional Multi-Space Fractional Bioheat Equations," Baghdad Science Journal: Vol. 17: Iss. 4, Article 8.
DOI: https://doi.org/10.21123/bsj.2020.17.4.1271