SOLUTION OF ORDINARY DIFFERENTIAL EQUATION vvi (u)=f(u,v,v',v'',v''') USING EIGHTH AND NINTH ORDER RUNGE-KUTTA TYPE METHOD

Authors

  • Manpreet Kaur Chitkara University Institute of Engineering and Technology, Punjab, INDIA, 140401.
  • Sangeet Kumar SGTB Khalsa College, Sri Anandpur Sahib, Punjab, INDIA, 140118.
  • Jasdev Bhatti Chitkara University Institute of Engineering and Technology, Punjab, INDIA, 140401. https://orcid.org/0000-0002-6859-2204

DOI:

https://doi.org/10.22452/mjs.vol42no2.5

Keywords:

Ordinary differential equations (ODE), runge-kutta type methods, local and global truncation error, zero stability

Abstract

The present paper presents the numerical conclusion to solve sixth order initial value ordinary differential equation (ODE). The concept of order conditions for three stage eighth order (RKSD8) & four stage ninth order Runge-Kutta methods (RKSD9) has been derived for finding global truncation error of differential equation The global and local truncated errors norms, zero stability of extended Runge-Kutta method (RK) is well defined and demonstrated with the help of an example.

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References

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Published

28-06-2023

How to Cite

Kaur, M., Kumar, S., & Bhatti, J. (2023). SOLUTION OF ORDINARY DIFFERENTIAL EQUATION vvi (u)=f(u,v,v’,v’’,v’’’) USING EIGHTH AND NINTH ORDER RUNGE-KUTTA TYPE METHOD. Malaysian Journal of Science (MJS), 42(2), 33–40. https://doi.org/10.22452/mjs.vol42no2.5

Issue

Vol 42 No 2 (2023): June

Section

Original Articles

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