A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations

作者：Hasan Yahya Qaid; Zhu Liu Ming^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2009, 14(8): 3261-3265.

DOI：10.1016/j.cnsns.2008.12.015

• Adomian decomposition method
• Singular boundary value problems
• High-order ordinary differential equation
• Linear and non-linear ordinary differential equation

This paper extend the work [Yahya Qaid Hasan, Liu Ming Zhu. Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method. Commun Nonlinear Sci Numer Simul. doi:10.1016/j.cnsns.2008.09.0271 to high order of singular boundary value problems. Solution of these problems is considered by proposed modification of Adomian decomposition method. The proposed method can be applied to linear and nonlinear problems. Some examples are presented to show the ability of the method for linear and non-linear ordinary differential equation.

• 出版日期2009-8
• 单位哈尔滨工业大学