The solution of a class of singularly perturbed two-point boundary value problems by the iterative reproducing kernel method

DOI10.1155/2012/984057zbMath1251.34035OpenAlexW2080037230WikidataQ58697229 ScholiaQ58697229MaRDI QIDQ448886

Fugui Tan, Tingfang Nie, Xiaohui Wan, Yu-Lan Wang, Zhi-yuan Li

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/984057

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Singular perturbations for ordinary differential equations (34E15)

Related Items (4)

Using the iterative reproducing kernel method for solving a class of nonlinear fractional differential equations ⋮ Highly accurate method for solving singular boundary-value problems via Padé approximation and two-step quartic B-spline collocation ⋮ Using an effective numerical method for solving a class of Lane-Emden equations ⋮ Solving a class of singular fifth-order boundary value problems using reproducing kernel Hilbert space method

Cites Work

• A new method for solving singular fourth-order boundary value problems with mixed boundary conditions
• A new method for solving a class of mixed boundary value problems with singular coefficient
• A computational method for self-adjoint singular perturbation problems using quintic spline
• Using reproducing kernel for solving a class of partial differential equation with variable-coefficients
• Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems
• On a fourth-order finite-difference method for singularly perturbed boundary value problems
• The exact solution of system of linear operator equations in reproducing kernel spaces
• Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems

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