APPROXIMATE SOLUTIONS TO STIFF PROBLEMS OF THREE-STEP LINEAR MULTISTEP METHOD USING HERMIT POLYNOMIALS

Authors

  • Ismaila Abdullateef Yelwa
    Ibrahim Badamasi Babangida University, Lapai
  • James Ibrahim Galadima
    Ibrahim Badamasi Babangida University, Lapai
  • Yusuf Dauda Jikantoro
    Ibrahim Badamasi Babangida University, Lapai
  • Aisha A. Yakubu
    Ibrahim Badamasi Babangida University, Lapai

Keywords:

Linear multi-step method, Ordinary differential equations, Initial value problems, Hermite polynomials

Abstract

Linear multistep method is a problem-solving technique mostly used to find the solution to mathematical problems involving one independent variable mostly called ordinary differential equations. However, this research seeks to carry out a formulation of an efficient numerical scheme for the approximation of first order ordinary differential equation (ODE) has been investigated. The method is a block scheme for 3-step linear multistep method using Hermit polynomials as the basis function. The continuous and discrete multi-step methods (LMM) have been formulated through the technique of collocation and interpolation. Also, numerical examples of ODE’S have been solved and results obtained show that the proposed scheme can be efficient in solving initial value problems of first order ordinary differential equations.

Dimensions

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Published

30-04-2025

How to Cite

APPROXIMATE SOLUTIONS TO STIFF PROBLEMS OF THREE-STEP LINEAR MULTISTEP METHOD USING HERMIT POLYNOMIALS. (2025). FUDMA JOURNAL OF SCIENCES, 9(4), 234-238. https://doi.org/10.33003/fjs-2025-0904-3579

Issue

Vol. 9 No. 4 (2025): FUDMA Journal of Sciences - Vol. 9 No. 4

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

APPROXIMATE SOLUTIONS TO STIFF PROBLEMS OF THREE-STEP LINEAR MULTISTEP METHOD USING HERMIT POLYNOMIALS. (2025). FUDMA JOURNAL OF SCIENCES, 9(4), 234-238. https://doi.org/10.33003/fjs-2025-0904-3579

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