The Solution of Diffusion And Exothermic Zero Equation By Using Newton – Kantorovich Method | ||
| journal of al-qadisiyah for pure science(quarterly) | ||
| Article 1, Volume 14, Issue 2, June 2014, Pages 173-185 PDF (0 K) | ||
| Author | ||
| Eman Ali Hussan | ||
| Abstract | ||
| This paper aims to a solution of a diffusion and exothermic equation by using Newton- Kantorovich method . The Newton- Kantorovich method is used to convert the nonlinear boundary value problem into linear boundary value problem , and then using numerical method to solve the linear boundary value problem . The numerical method is a suitable based on a finite – difference method ( the central-difference ) scheme was considered here in since it gave a good results and thus obtaining small errors . The central- difference method is preferable over backward or forward difference scheme. Finally ,some numerical examples show that in this paper the results of proposed methods have a good agreement compared with that of exact solution . The use of finite- difference method produced a system of linear algebraic equations which are solved by using the Matlab computer software . Keywords : | ||
| Keywords | ||
| Newton; Kantorovich method; solution of nonlinear equation; Two; point boundary value problems; central | ||
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