2011•Journal of Inner Mongolia University for the NationalitiesRequires access

The Homotopy Analysis Method for Solving Nonlinear Heat Conduction Equation

Han Yuan-chun

Abstract

The blow-up solution of nonlinear heat conduction equation is obtained by using homotopy analysis method and the property of this solution is analyzed.The comparison is made between homotopy approximate solution and exact solution,and find both agree well.The result indicate that the homotopy analysis method can be used to analysis the blow-up solution of nonlinear partial differential equations.

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Key concepts: Homotopy analysis method, Mathematics, Nonlinear system, Homotopy, Homotopy perturbation method, Thermal conduction, Partial differential equation, Mathematical analysis