Algorithms for solving linear, non-linear differential and differential-difference equations by approximating the solution to polynomials

DOI10.1504/IJCSM.2014.064866zbMath1453.34023OpenAlexW2059779658MaRDI QIDQ2221557

Sameh A. Eisa

Publication date: 2 February 2021

Published in: International Journal of Computing Science and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijcsm.2014.064866

zbMATH Keywords

numerical methodspolynomialsdifferential equationsdifferential-difference equations

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99)

Cites Work

• A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
• A rational approximation based on Bernstein polynomials for high order initial and boundary values problems
• Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions
• Taylor polynomial solutions of linear differential equations.
• Differential transformation technique for solving higher-order initial value problems
• A Taylor polynomial approach for solving differential-difference equations

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