Unified approach for solving initial valued and boundary valued ordinary differential equations using wavelet collocation method

This article discusses approximation of solution for ordinary differential equation with wavelets. It presents a unified approach for wavelet collocation method; applied to solve both the initial valued problems as well as boundary valued problems. The method was found to give good agreement with the analytical solutions. We can directly solve the boundary valued problem as against the traditional shooting methods where the boundary valued problem itself is approximated by Initial valued problem and hence we achieve better accuracy with wavelet collocation methods.