On extending the quasilinearization method to higher order convergent hybrid schemes using the spectral homotopy analysis method
DOI10.1155/2013/879195zbMath1268.65096OpenAlexW2058891683WikidataQ59005039 ScholiaQ59005039MaRDI QIDQ2375706
Precious Sibanda, Sandile Sydney Motsa
Publication date: 14 June 2013
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/879195
convergencenonlinear boundary value problemsspectral collocation methodquasilinearization algorithmFalkner-Skan type boundary layer flow problems
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Uses Software
Cites Work
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- A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem
- Homotopy analysis method for singular IVPs of Emden-Fowler type
- Numerical solution of nonlinear Volterra integral equations using the idea of quasilinearization
- A new spectral-homotopy analysis method for solving a nonlinear second order BVP
- Iterative methods improving Newton's method by the decomposition method
- Construction of Newton-like iteration methods for solving nonlinear equations
- A quasilinearization method for a class of integro-differential equations with mixed nonlinearities
- Series solution of the multispecies Lotka-Volterra equations by means of the homotopy analysis method
- Noise terms in decomposition solution series
- The quasilinearization method in the system of reaction-diffusion equations
- Solving frontier problems of physics: the decomposition method
- Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- Extensions of the method of quasilinearization
- Piecewise-quasilinearization techniques for singularly perturbed Volterra integro-differential equations
- Homotopy analysis method for quadratic Riccati differential equation
- An analytic approach to solve multiple solutions of a strongly nonlinear problem
- On the solution of MHD flow over a nonlinear stretching sheet by an efficient semi-analytical technique
- A spectral‐homotopy analysis method for heat transfer flow of a third grade fluid between parallel plates
- The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems
- Beyond Perturbation
- Spectral Methods in MATLAB
- Quasilinearization method and its verification on exactly solvable models in quantum mechanics
- Accuracy and Speed in Computing the Chebyshev Collocation Derivative
- Further improvement of generalized quasilinearization method
- A review of the decomposition method and some recent results for nonlinear equations
- Numerical investigation of quasilinearization method in quantum mechanics
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
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