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Hybrid Orthonormal Bernstein and Block-Pulse Method for the Solution of New System of Volterra Integro-differential Equations

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  • Ahmad M. Alenezi

Abstract

In this article, Hybrid of Bernstein and Block-Pulse techniques (HOBM) is approaching to disband arrangement of non-linear integro-differential equations which emerge in biological model. The HOBM constringe the model of our problem into composed arrangement of non-linear necessitarian equations and this consequent variety respecting necessitarian arrangement are settled by Newton’s numerical technique. Likewise, the arrangements obtained by present methodologies have been contrasted and that respecting by some current procedures accessible in writing. Some interpretative models have been discussed to show the applicability and accuracy respecting the present strategies.

Suggested Citation

  • Ahmad M. Alenezi, 2020. "Hybrid Orthonormal Bernstein and Block-Pulse Method for the Solution of New System of Volterra Integro-differential Equations," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 12(5), pages 1-20, December.
  • Handle: RePEc:ibn:jmrjnl:v:12:y:2020:i:5:p:20
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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