Implicit Block and Runge- Kutta type Methods for Solution of Second-Order Ordinary Differential Equations.

Authors

  • Badmus A.M Department of Mathematical Sciences Nigerian Defence Academy Kaduna, Nigeria
  • Subair A.O Department of Mathematical Sciences Nigerian Defence Academy Kaduna, Nigeria

DOI:

https://doi.org/10.58915/amci.v13iNo.1.229

Abstract

In this research, implicit discrete schemes which form our block integrators were developed for solving Initial Valued Problems of Ordinary Differential Equations. The equivalent second order Runge-Kutta type Methods (RKTM) were also constructed for the same purpose. Both methods were demonstrated on linear and nonlinear problems of Ordinary Differential Equations. Numerical results obtained from RKTM show that the method is competitive with the existing one.

Keywords:

Block implicit methods, Implicit Runge-Kutta Type Method, Linear and nonlinear Ordinary Differential Equations

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Published

2024-02-14

How to Cite

Badmus A.M, & Subair A.O. (2024). Implicit Block and Runge- Kutta type Methods for Solution of Second-Order Ordinary Differential Equations. Applied Mathematics and Computational Intelligence (AMCI), 13(No.1), 109–127. https://doi.org/10.58915/amci.v13iNo.1.229

Issue

Vol. 13 No. No.1 (2024): February 2024

Section

Articles