An approximate solution for the static beam problem and nonlinear integro-differential equations

作者：Temimi H; Ansari A R^*; Siddiqui A M

来源：Computers & Mathematics with Applications, 2011, 62(8): 3132-3139.

DOI：10.1016/j.camwa.2011.08.026

• Beam equation
• Integro-differential equations
• Non-linear problems
• Optimal Homotopy Asymptotic Method (OHAM)

We consider a Kirchhoff type nonlinear static beam and an integro-differential convolution type problem, and investigate the effectiveness of the Optimal Homotopy Asymptotic Method (OHAM), in solving nonlinear integro-differential equations. We compare our solutions via the OHAM, with bench mark solutions obtained via a finite element method, to show the accuracy and effectiveness of the OHAM in each of these problems. We show that our solutions are accurate and the OHAM is a stable accurate method for the problems considered.

• 出版日期2011-10