Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space

DOI10.1016/j.apnum.2019.12.008zbMath1445.65029OpenAlexW2997595624WikidataQ126444721 ScholiaQ126444721MaRDI QIDQ2301382

Hussein Sahihi, Tofigh Allahviranloo, Saeid Abbasbandy

Publication date: 24 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.12.008

zbMATH Keywords

convergence analysisboundary value problemserror estimatereproducing kernel method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Orthogonalization in numerical linear algebra (65F25)

Related Items (15)

Solvability of generalized fractional order integral equations via measures of noncompactness ⋮ Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems ⋮ Nonlinear second order systems of Fredholm integro-differential equations ⋮ A continuous kernel functions method for mixed-type functional differential equations ⋮ An efficient kernel-based method for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in irregular domains ⋮ Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ Mixed reproducing kernel-based iterative approach for nonlinear boundary value problems with nonlocal conditions ⋮ A new higher order accurate reproducing kernel-based approach for boundary value problems ⋮ The Bernoulli polynomials reproducing kernel method for nonlinear Volterra integro-differential equations of fractional order with convergence analysis ⋮ Multiscale orthonormal method for nonlinear system of BVPs ⋮ Reproducing kernel method to solve non-local fractional boundary value problem ⋮ Nonpolynomial twin parameter spline approach to treat boundary-value problems arising in engineering problems ⋮ Reproducing kernel method to solve fractional delay differential equations ⋮ A stable and efficient technique for linear boundary value problems by applying kernel functions ⋮ IMPLEMENTING REPRODUCING KERNEL METHOD TO SOLVE SINGULARLY PERTURBED CONVECTION-DIFFUSION PARABOLIC PROBLEMS

Uses Software

• Mathematica

Cites Work

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