A promising exponentially-fitted two-derivative Runge–Kutta–Nyström method for solving <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg" display="inline" id="d1e4929"><mml:mrow><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>: Application to Verhulst logistic growth model-Reference-Cited by-同舟云学术

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A promising exponentially-fitted two-derivative Runge–Kutta–Nyström method for solving y′′=f(x,y): Application to Verhulst logistic growth model

Published:2024-05 Issue: Volume:219 Page:28-49
ISSN:0378-4754
Container-title:Mathematics and Computers in Simulation
language:en
Short-container-title:Mathematics and Computers in Simulation

Author:

Lee K.C.,Nazar R.,Senu N.^ORCID,Ahmadian A.

Funder

Universiti Kebangsaan Malaysia

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference28 articles.

1. Revised exponentially fitted Runge–Kutta–Nyström methods;A’Ambrosio;Appl. Math. Lett.,2014

2. Direct solution of second-order ordinary differential equation using a single-step hybrid block method of order five;Abdelrahim;Math. Comput. Appl.,2016

3. A family of exponentially fitted multiderivative method for stiff differential equations;Abhulimen;J. Adv. Math.,2017

4. Solving directly higher order ordinary differential equations by using variable order block backward differentiation formulae;Asnor;Symmetry,2019

5. Exponentially fitted Runge–Kutta methods;Berghe;J. Comput. Appl. Math.,2000

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