A Numerical Technique for Solving Nonlinear Singularly Perturbed Delay Differential Equations

DOI10.3846/mma.2018.005zbMath1488.65161OpenAlexW2788168523MaRDI QIDQ4959375

A. S. V. Ravi Kanth, P. Murali Mohan Kumar

Publication date: 13 September 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2018.005

zbMATH Keywords

quasilinearizationsingularly perturbed problemsparametric cubic splinenonlinear delay problems

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations of functional-differential equations (34K26) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical methods for functional-differential equations (65L03)

Related Items (6)

Exponentially fitted tension spline method for singularly perturbed differential difference equations ⋮ A second order stabilized central difference method for singularly perturbed differential equations with a large negative shift ⋮ A Numerical Approach for Solving Nonlinear Singularly Perturbed Boundary Value Problem Arising in Control Theory ⋮ Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh ⋮ Lucas polynomial solution of nonlinear differential equations with variable delays ⋮ Legendre wavelet solution of high order nonlinear ordinary delay differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift
• A lower bound for the smallest singular value of a matrix
• An asymptotic-numerical hybrid method for solving singularly perturbed linear delay differential equations
• Numerical solution of second order singularly perturbed delay differential equations via cubic spline in tension
• Differential inequalities and applications to nonlinear singular perturbation problems
• A spline method for second-order singularly perturbed boundary-value problems
• A computational method for singularly perturbed nonlinear differential-difference equations with small shift
• Nonlinear singular perturbation phenomena: theory and applications
• Singularly Perturbed Delay Differential Equations and Numerical Methods
• SOLVING BOUNDARY VALUE PROBLEMS FOR SECOND ORDER SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS BY Ε-APPROXIMATE FIXED-POINT METHOD
• Singular Perturbation Analysis of Boundary Value Problems for Differential‐Difference Equations. IV. A Nonlinear Example with Layer Behavior

This page was built for publication: A Numerical Technique for Solving Nonlinear Singularly Perturbed Delay Differential Equations