AN EFFECTIVE SHOOTING PIECEWISE ANALYTICAL INTEGRATION METHOD FOR SINGULAR PERTURBATION TWO-POINT BOUNDARY VALUE PROBLEMS

DOI10.17654/0974324323003OpenAlexW4313825699WikidataQ117218970 ScholiaQ117218970MaRDI QIDQ6115091

Unnamed Author, Essam R. El-Zahar

Publication date: 15 August 2023

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

Full work available at URL: https://doi.org/10.17654/0974324323003

zbMATH Keywords

stabilitysingular perturbationboundary value problemsshooting methodasymptotic approximationslocally exact integration

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

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• Piecewise shooting reproducing kernel method for linear singularly perturbed boundary value problems
• Solving BVPs with shooting method and VIMHP
• The convergence of the perturbed Newton method and its application for ill-conditioned problems
• A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel method
• The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems
• Singular perturbation theory. Mathematical and analytical techniques with applications to engineering. With a foreword by Alan Jeffrey
• Variable step size initial value algorithm for singular perturbation problems using locally exact integration
• A non-linear single step explicit scheme for non-linear two-point singularly perturbed boundary value problems via initial value technique
• A boundary value approach for a class of linear singularly perturbed boundary value problems
• A uniform numerical method for quasilinear singular perturbation problems without turning points
• Perturbation methods in applied mathematics
• Singular perturbation methods for ordinary differential equations
• A nonlinear shooting method for two-point boundary value problems
• Linearization techniques for singular initial-value problems of ordinary differential equations
• Solution of the Falkner-Skan equation by recursive evaluation of Taylor coefficients
• ``Shooting method for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer.
• An initial-value approach for solving singularly perturbed two-point boundary value problems
• An algorithm for solving singular perturbation problems with mechanization
• An efficient numerical method for singular perturbation problems
• On the differential equations of the simplest boundary-layer problems
• A New Method for Solving Singularly Perturbed Boundary Value Problems
• ‘Shooting method’ for singularly perturbed one-dimensional reaction-diffusion neumann problems
• Finite Horizon Optimal Control of Singularly Perturbed Systems: A Differential Lyapunov Equation Approach $ $
• NUMERICAL METHOD FOR SINGULARLY PERTURBED THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS OF REACTION-DIFFUSION TYPE

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