Solving singular nonlinear boundary value problems by combining the homotopy perturbation method and reproducing kernel Hilbert space method
DOI10.1080/00207160802562572zbMath1197.65092OpenAlexW2054125381MaRDI QIDQ5747736
Publication date: 14 September 2010
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160802562572
numerical examplessingular nonlinear boundary value problemsreproducing kernel Hilbert space methodHe's homotopy perturbation methodconvergent series solution
Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)
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Cites Work
- Unnamed Item
- An \(O(h^4)\) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems
- Solving fractional diffusion and wave equations by modified homotopy perturbation method
- Existence and uniqueness of positive solution for singular boundary value problem
- Solving a nonlinear system of second order boundary value problems
- Variational iteration method and homotopy perturbation method for nonlinear evolution equations
- He's homotopy perturbation method for a boundary layer equation in unbounded domain
- Application of homotopy perturbation method for solving eighth-order boundary value problems
- Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
- A new method of solving the coefficient inverse problem
- Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
- Positive solution for singular boundary value problems
- The exact solution for solving a class nonlinear operator equations in the reproducing kernel space.
- Reproducing kernel spaces and applications
- The homotopy perturbation method for nonlinear oscillators with discontinuities.
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Existence of positive solutions to a singular second order boundary value problem
- Homotopy perturbation method for bifurcation of nonlinear problems
- He's homotopy perturbation method for calculating Adomian polynomials
- A note on singular nonlinear boundary value problems
- How to solve the equation \(AuBu+Cu=f\).
- Homotopy perturbation method: a new nonlinear analytical technique
- Higher order finite difference method for a class of singular boundary value problems
- Comparison of homotopy perturbation method and homotopy analysis method
- Homotopy perturbation method for solving boundary value problems
- Homotopy perturbation technique
- The exact solution of nonlinear age-structured population model
- Representation of the exact solution for a kind of nonlinear partial differential equation
- A computational method for solving one-dimensional variable-coefficient Burgers equation
- Solving singular two-point boundary value problem in reproducing kernel space
- A new modification of the homotopy perturbation method for linear and nonlinear operators
- Application of He's homotopy perturbation method for \(n\)th-order integro-differential equations
- Homotopy perturbation method for fractional KdV equation
- Application of homotopy perturbation method to nonlinear wave equations
- A new multi-resolution theory based on orthogonal spline
- Cubic spline for a class of singular two-point boundary value problems
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS