The numerical solution of bioheat equation based on shifted Legendre polynomial

Document Type : Research Paper


1 Department Mathematics, Education College for pure Sciences, Basrah University, Basrah, Iraq

2 Open Education College in Basrah, Basrah, Iraq


The goal of this study is to expand the usage of a collection method based on shifted Legendre
polynomials in matrix form to approximate the derivative to obtain numerical solutions for the
unsteady state one-dimensional bioheat equation. The proposed methodology is used to two examples
to illustrate its utility and accuracy. The numerical results shown that the techniques used are
effective as well as gives high accuracy and good convergence