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

Downloads

Published

2021-05-18

How to Cite

Mohammed, U., Garba, J., & Semenov, M. E. (2021). ONE-STEP SECOND DERIVATIVE BLOCK INTRA-STEP METHOD FOR STIFF SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS: ONE-STEP SECOND DERIVATIVE. Journal of the Nigerian Mathematical Society, 40(1), 47–57. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/621

Issue

Section

Articles

Most read articles by the same author(s)