Abstract
We derive two new finite difference methods of order two and four usingthree grid points for solving the general one dimensional nonlinear biharmonic equation subject to the boundary conditions .Second order derivative of the solution are obtained as a by-product of the methods and we do not require to discretize the boundary conditions. We also discuss fourth order difference method for a fourth order linear differential equation in cylindrical and spherical symmetry. The resulting matrix system is solved by the non-linear block successive over relaxation (NBSOR) method. In numerical experiments the new second and fourth order methods are compared with the exact solutions both in singular and non-singular cases.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
