OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR SOLVING MULTI-PANTOGRAPH TYPE DELAY DIFFERENTIAL EQUATIONS

DOI10.17654/DE019030191zbMath1433.65117MaRDI QIDQ5204402

N. Ratib Anakira

Publication date: 4 December 2019

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

zbMATH Keywords

series solutionpantograph equationoptimal homotopy asymptotic method

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical methods for functional-differential equations (65L03)

Cites Work

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• Numerical solution of pantograph-type delay differential equations using perturbation-iteration algorithms
• Approximate solution of nonlinear system of BVP arising in fluid flow problem
• Optimal homotopy asymptotic method for solving delay differential equations
• Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method
• Variational iteration method for solving a generalized pantograph equation
• An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
• On the attainable order of collocation methods for pantograph integro-differential equations
• Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
• A continuous method for nonlocal functional differential equations with delayed or advanced arguments
• Numerical scheme for solving singular two-point boundary value problems
• Approximate solution of multi-pantograph equation with variable coefficients
• A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term

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