Numerical Method of the Line for Solving One Dimensional Initial- Boundary Singularly Perturbed Burger Equation

In this Research Method of Line is used to find the approximation solution one dimensional singularly perturbed Burger equation given with initial and boundary conditions. First, domain discretized derivative involving spatial variable x replaced into functional values at each grid points by using central finite difference method. Then, resulting first-order linear ordinary differential solved fifth-order Runge-Kutta To validate applicability proposed method, model example considered for different perturbation parameter ‘  ’ mesh sizes in direction temporal variable, t. Numerical results are presented tables terms Maximum point-wise error, N t , E  rate convergence, P . The stability new class method also investigated Von Neumann analysis techniques. numerical graphs confirm that approximate good agreement exact solution.