Least squares methods for solving singularly perturbed two-point boundary value problems using Bézier control points

DOI10.1016/j.aml.2007.10.021zbMath1160.34311OpenAlexW2071935328MaRDI QIDQ952717

M. Evrenosoglu, Sennur Somali

Publication date: 14 November 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.10.021

zbMATH Keywords

singular perturbationleast squares methodBézier curvestwo-point boundary value problemsBézier control points

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (10)

A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations ⋮ A new approach for numerical solution of a linear system with distributed delays, Volterra delay-integro-differential equations, and nonlinear Volterra-Fredholm integral equation by Bézier curves ⋮ A note on the parabolic equation with an arbitrary parameter at the derivative ⋮ Numerical treatment of singularly perturbed two-point boundary value problems by using differential transformation method ⋮ Coupling of high order multiplication perturbation method and reduction method for variable coefficient singular perturbation problems ⋮ Bezier curves for solving Fredholm integral equations of the second kind ⋮ Bezier curves based numerical solutions of delay systems with inverse time ⋮ Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems ⋮ Optimal control of time-varying linear delay systems based on the Bézier curves ⋮ Least squares methods for solving partial differential equations by using Bézier control points

Cites Work

• Least squares methods for solving differential equations using Bézier control points.
• A family of nonuniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives
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