A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation

Abstract In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in governing equations is approximated by finite difference. equation converted into its full algebraic form once space derivatives are replaced series. Convergence analysis performed both time, where computational results follow theoretical statements convergence. Many test problems with different terms presented to verify accuracy, capability, convergence