Optimized hybrid block integrator for the numerical solution of third order initial and boundary value problems

Authors

  • M. I. Modebei National Mathematical Centre, Abuja

Abstract

A hybrid method for the numerical approximation of the solution of general third order initial and boundary value problems is derived via the collocation technique. This method considers three intra-step points which are adequately selected so as to optimize the local truncation errors of the main formulas. The new method is zero-stable, consistent and convergent. Numerical examples from literature shows the efficiency of this method in terms of the global errors obtained.

Author Biography

M. I. Modebei, National Mathematical Centre, Abuja

National Mathematical Centre, Abuja (Research/Ph.D. student)

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Published

2022-04-28

How to Cite

Modebei, M. I. (2022). Optimized hybrid block integrator for the numerical solution of third order initial and boundary value problems. Journal of the Nigerian Mathematical Society, 41(1), 49–64. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/584

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