Abstract
In this study, numerical integration based on Block-Pulse functions and Chebyshev wavelets are employed for Element Free Galerkin approximation. Moving Least Squares (MLS) approach is used to construct shape functions with optimized weight functions and basis. The proposed techniques are implemented on singularly-perturbed boundary-value problems with two-point boundary conditions. Numerical results for two examples are presented in this article to show the pertinent features for the proposed technique. Comparison with existing techniques shows that our proposed method based on integration technique provides better approximation at reduced computational cost. Moreover the effect of perturbation parameter on solution of test problems has been studied.
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