ROBUST EXTENDED TRAPEZOIDAL RULES FOR TWO-POINT STIFF AND NON-STIFF BOUNDARY VALUE PROBLEMS.

Authors

  • T. Okor University of Benin, Benin City, Nigeria
  • G. C. Nwachukwu University of Benin, Benin City, Nigeria
  • F. J. Adeyeye Federal University of Petroleum Resources, Effurun, Delta State, Nigeria

Abstract

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.

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Published

2021-08-31

How to Cite

Okor, T., Nwachukwu, G. C., & Adeyeye, F. J. (2021). ROBUST EXTENDED TRAPEZOIDAL RULES FOR TWO-POINT STIFF AND NON-STIFF BOUNDARY VALUE PROBLEMS.: Array. Journal of the Nigerian Mathematical Society, 40(2), 79–95. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/608

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