An analytical approach for solving nonlinear boundary value problems in finite domains

作者：Liang Songxin^*; Jeffrey David J

来源：Numerical Algorithms, 2011, 56(1): 93-106.

DOI：10.1007/s11075-010-9375-z

• Boundary value problem
• Series solution
• Homotopy analysis method
• Symbolic computation
• Analytical solution

Based on the homotopy analysis method (HAM), a general analytical approach for obtaining approximate series solutions to nonlinear two-point boundary value problems in finite domains is proposed. To demonstrate its effectiveness, this approach is applied to solve three nonlinear problems, and the analytical solutions obtained are more accurate than the numerical solutions obtained via the shooting method and the sinc-Galerkin method.

• 出版日期2011-1