ME 502 Advanced Numerical Methods for Engineers (3 0 3)

Solution of non linear equations, Newton Raphson method, improved Newton-Raphson method, secant method. Numerical solution of non-linear boundary value problems of ordinary differential equations. Numerical solution of linear and non-linear partial differential equations; parabolic equations, hyperbolic equations, elliptic equations. Iteration methods. Nonlinear boundary conditions. Two and three dimensional elliptic and parabolic partial differential equations.