Computational approach for fourth-order self-adjoint singularly perturbed boundary value problems via non-polynomial quintic spline
DOI10.1007/S40995-016-0116-6zbMath1397.65111OpenAlexW2522007105MaRDI QIDQ1787775
Ram Kishun Lodhi, Hradyesh Kumar Mishra
Publication date: 5 October 2018
Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40995-016-0116-6
convergence analysisboundary layersfourth-order differential equationnon-polynomial quintic splineself-adjoint singularly perturbed boundary value problems
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Cites Work
- A \(C^{1}\)-conforming \(hp\) finite element method for fourth order singularly perturbed boundary value problems
- A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems
- Approximate method for the numerical solution of singular perturbation problems
- Perturbation methods in applied mathematics
- Computational methods for reaction--diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative.
- A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations
- A survey of numerical techniques for solving singularly perturbed ordinary differential equations
- Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection-diffusion type
- Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer
- Exponential spline approach for the solution of fourth order obstacle boundary value problems
- Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems
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