The numerical solution of bioheat equation based on shifted Legendre polynomial

	The numerical solution of bioheat equation based on shifted Legendre polynomial
International Journal of Nonlinear Analysis and Applications
دوره 12، شماره 2، بهمن 2021، صفحه 1061-1070 اصل مقاله (357.86 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5175
نویسندگان
Hameeda O. Al-Humedi^* ¹؛ Firas A. Al-Saadawi²
¹Department Mathematics, Education College for pure Sciences, Basrah University, Basrah, Iraq
²Open Education College in Basrah, Basrah, Iraq
چکیده
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
کلیدواژه‌ها
collocation method؛ bioheat equation؛ Legendre polynomials؛ accuracy
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