Approximate Solutions Of Two-point Boundary Value Problems By The Weak-form Integral Equation Method

Abstract

In this article, we use an effective computational method for solving the two-point boundary value problems (BVPs). In order to use the weak-form integral equation method, we firstly introduce the suitable adjoint test functions. Then, we derive weak form of the given BVP, by utilizing suitable trial functions. Finally, we impose a combination of exponential functions as the basis of solution space. Different types of boundary conditions (of Dirichlet and robin types) are investigated and stability of the method are numerically considered.

Keywords

• two-point boundary value problem
• weak-form integral equation method
• adjoint test functions
• fractional order exponential trial functions