A New Mixed Nonpolynomial Spline Method for the Numerical Solutions of Time Fractional Bioheat Equation

Ammar Muslim  Abdullhussein; Hameeda Oda  Al-Humedi

doi:10.24996/ijs.2020.61.7.21

A New Mixed Nonpolynomial Spline Method for the Numerical Solutions of Time Fractional Bioheat Equation

Authors

Ammar Muslim Abdullhussein Department Mathematics, Open Education College in Basrah, Basrah, Iraq
Hameeda Oda Al-Humedi Department Mathematics, Education College for Pure Science, Basrah University, Basrah, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.7.21

Keywords:

Fractional bioheat equations, Caputo fractional derivative, new mixed nonpolynomial spline, stability

Abstract

In this paper, a numerical approximation for a time fractional one-dimensional bioheat equation (transfer paradigm) of temperature distribution in tissues is introduced. It deals with the Caputo fractional derivative with order for time fractional derivative and new mixed nonpolynomial spline for second order of space derivative. We also analyzed the convergence and stability by employing Von Neumann method for the present scheme.

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Published

2020-07-29

Issue

Vol 61 No 7 (2020)

Section

Mathematics

How to Cite

A New Mixed Nonpolynomial Spline Method for the Numerical Solutions of Time Fractional Bioheat Equation. (2020). Iraqi Journal of Science, 61(7), 1724-1732. https://doi.org/10.24996/ijs.2020.61.7.21