A reliable algorithm based on Haar wavelet and Runge-Kutta method for the numerical solutions of (1+1)- and (1+2)-dimensional nonlinear parabolic partial differential equations
This study addresses the approximate solution of (1+1)- and (1+2)-dimensional nonlinear parabolic partial differential equations with initial and Dirichlet boundary conditions. The proposed hybrid scheme integrates the Haar wavelet with the fourth-order Runge-Kutta (RK-4) method. Spatial discretization via Haar wavelet...