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IJSTR >> Volume 8 - Issue 10, October 2019 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Singly Diagonally Implicit Runge-Kutta Method For The Solution Of The Linear And Non-Linear

[Full Text]

 

AUTHOR(S)

Delayed-Action Oscillator Equation K.Ponnammal, R.Sayeelakshmi

 

KEYWORDS

DDE, Runge-Kutta method, Natural Continuous Extension, Cubic interpolation, Hermite Interpolation.

 

ABSTRACT

This paper presents continuous extension singly diagonally implicit Runge – kutta (CESDIRK) method based in continuous extension polynomial cubic spline polynomial interpolation, cubic hermite polynomial interpolation for solving Delay Differential Equation. The method modeled climate model which applied to linear and non-linear Delay Action Oscillator Delay Differential Equation. Errors of numerical results compared with the solution MATLAB solver DDE23. It is observed that CESDIRK polynomial given better results than other polynomial.

 

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