Numerical Solution of Singularly Perturbed Two-point BVPs Using Nonuniform Haar Wavelets

DOI10.1080/15502287.2011.580828zbMath1238.65080OpenAlexW2005389272MaRDI QIDQ3118304

Siraj-ul-islam, Fazal-I-Haq, Imran Aziz

Publication date: 2 March 2012

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502287.2011.580828

zbMATH Keywords

singular perturbationnumerical examplesboundary layerstwo-point boundary value problemsHaar wavelets

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical methods for wavelets (65T60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items

Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method, A non-uniform Haar wavelet method for a singularly perturbed convection-diffusion type problem with integral boundary condition on an exponentially graded mesh, Haar wavelet-quasilinearization technique for fractional nonlinear differential equations, Numerical solution of a fourth‐order singularly perturbed boundary value problem with discontinuities via Haar wavelets, Review of wavelet methods for the solution of reaction-diffusion problems in science and engineering, Unnamed Item, SOLVING NONLINEAR PDES USING THE HIGHER ORDER HAAR WAVELET METHOD ON NONUNIFORM AND ADAPTIVE GRIDS

Cites Work

• B-spline solution of a singularly perturbed boundary value problem arising in biology
• Non-uniform Haar wavelets
• Sextic spline solution of a singularly perturbed boundary-value problem
• Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems
• A collection of computational techniques for solving singular boundary-value problems
• A boundary value approach for a class of linear singularly perturbed boundary value problems
• Solving singularly perturbed boundary-value problems by spline in tension
• Improvement of numerical solution of self-adjoint singular perturbation problems by incorporation of asymptotic approximations
• A survey of numerical techniques for solving singularly perturbed ordinary differential equations
• Wavelet optimized finite difference method using interpolating wavelets for self-adjoint singularly perturbed problems
• Solving integral and differential equations by the aid of non-uniform Haar wavelets
• \(\varepsilon\)-uniformly convergent fitted mesh finite difference methods for general singular perturbation problems
• A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems
• A difference scheme on a non-uniform mesh for a differential equation with a small parameter in the highest derivative
• A variational difference scheme for a boundary value problem with a small parameter in the highest derivative
• Numerical Solution of Singularly Perturbed Non-Linear Two Point Boundary Value Problems by Spline in Compression