Improved Meshfree Approach to The Solution of Sixth Order Differential Equations

Abstract

Numerical Mesh-free method with improved numerical integration using block pulse function (BPF)/Chebyshev wavelets (CW), is engaged for the solution of sixth order boundary value problems (BVP). Moving Least Squares (MLS) approach is used to construct shape functions with optimized weight functions and basis. The proposed improved Element Free Galerkin (EFG) technique has already been successfully implemented on various physical applications in fluids and structures such as solution for large deformations, stresses, strains involving friction, viscosity and viscoelasticity. Numerical results for test cases of sixth order boundary value problems are presented in this article to elaborate the relevant features and of the proposed technique. Comparison with existing techniques shows that our proposed method provides better approximation at reduced computational cost.