ROBUST EXTENDED TRAPEZOIDAL RULES FOR TWO-POINT STIFF AND NON-STIFF BOUNDARY VALUE PROBLEMS.
A family of boundary value methods (BVMs) referred to as robust extended trapezoidal rules (RETRs) is derived using the Tailor series expansion approach. The class of methods developed is symmetric with higher order and smaller error constants compared with the conventional extended trapezoidal rules (ETRs). The BVMs are natural candidates for the solution of boundary value problems (BVPs) and they simultaneously generate the approximate solutions to BVPs on the entire interval of integration. We applied the RETRs to standard non-stiff, stiff and/or singularly nonlinear perturbed two-point BVPs to analyze the efficiency and accuracy of the scheme and it was found to compare favorably with standard methods.
How to Cite
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.