Notifications You must be signed in to change notification settings This is a numerical solution to a Sturm-Liouville-type ordinary differential equation using methods from numerical analysis. The ...

Numerical differentiation is a method of estimating the derivative of a function using finite differences. The methods implemented in this code include: Forward Difference Method: Approximates the ...

SIAM Journal on Numerical Analysis, Vol. 26, No. 6 (Dec., 1989), pp. 1474-1486 (13 pages) An explicit finite difference algorithm is developed to approximate the solution of a nonlinear and nonlocal ...

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...

This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of ...

The analysis of the finite difference schemes with nonuniform meshes for the problems of partial differential equations is extremely rare even for very simple problems and even for the method of fully ...