A Computation of Fourth-Order Partial Differential Equation using a Modified Second Order Fully Implicit Difference Scheme: Fourth Order Non-Linear Partial Differential Equation

Okey Onyejekwe

Authors

Okey Onyejekwe Robnello Unit for Continuume Mechancis and Nonlinear Dynamics, Asaba, Oshimili South, Delta State, Nigeria

Keywords:

Fourth order differential equation, nonlinearity, second order difference scheme, errors and error norms

Abstract

In the work reported herein a second order difference scheme is formulated and analyzed for a fourth order nonlinear differential equation. Encouraging conclusions are obtained for the error and accompanying error norms. Computed simulations are compared with those found in literature and they not only justify the theory but also encourage the applicability of the scheme to more rigorous settings involving nonlinearity and higher order partial differential equations.