ONE-STEP SECOND DERIVATIVE BLOCK INTRA-STEP METHOD FOR STIFF SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS

ONE-STEP SECOND DERIVATIVE

Authors

  • Umaru Mohammed Department of Mathematics, Federal University of Technology Minna. Nigeria
  • Jamiu Garba Federal University of Technology, Minna
  • M. E Semenov School of Nuclear Science & Engineering, Tomsk Polytechnic University

Abstract

Presented here is a one-step second derivative intra-point block numerical method of uniform order eight for seeking the solution of stiff systems of ordinary dierential equations directly. The techniques of interpolation and collocation are used to build the continuous scheme from which the main method and additional methods were obtained. The convergence analysis of the proposed method to validate their effectiveness and reliability is presented. Some numerical examples both linear and non-linear are solved to demonstrate the effIciency of the method.

Author Biography

  • Jamiu Garba, Federal University of Technology, Minna

    Department of Mathematics

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Published

2021-05-18

Issue

Vol. 40 No. 1 (2021): JNMS:

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

How to Cite

ONE-STEP SECOND DERIVATIVE BLOCK INTRA-STEP METHOD FOR STIFF SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS: ONE-STEP SECOND DERIVATIVE. (2021). Journal of the Nigerian Mathematical Society, 40(1), 47-57. https://ojs.ictp.it/jnms/index.php/jnms/article/view/621

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