Homotopy Perturbation Method for Computing Eigenelements of Sturm-Liouville Two Point Boundary Value Problems
نویسندگان
چکیده
Recently a great deal of interest has been focused on the application of HPM for the solution of many different problems. The technique has been applied with great success to obtain the solution of a large variety of nonlinear problems in both ordinary and partial differential equations and integro-differential equations[1-10]. In this work we apply HPM to approximate eigenvalues and eigenfunctions of a Sturm-Liouville problem. It will be shown that the method is easy to use and to compute. Numerical experiments are presented to show the efficiency of the method. A Sturm-Liouville (SL) boundary value problem is a second order linear ordinary differential equation and can be written as:
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