An efficient hybrid method to solve nonlinear differential equations in applied sciences
DOI10.1007/s40314-022-02024-9OpenAlexW4297005953WikidataQ115373168 ScholiaQ115373168MaRDI QIDQ2085014
Hossein Cheraghian, Mehdi Delkhosh
Publication date: 14 October 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-02024-9
quasilinearization methodgeneralized pseudospectral methodgeneralized Lagrange functionsderivative operational matrix
Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Cites Work
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- Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions
- Moving wedge and flat plate in a micropolar fluid
- A simple analytical solution for the steady flow of a third grade fluid in a porous half space
- Solution of a laminar boundary layer flow via a numerical method
- Stokes first problem for a third grade fluid in a porous half space
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- The solution of the Blasius equation by the differential transformation method.
- A new algorithm for solving classical Blasius equation
- Rational Chebyshev series for the Thomas-Fermi function: endpoint singularities and spectral methods
- An iterative symplectic pseudospectral method to solve nonlinear state-delayed optimal control problems
- Radiative SWCNT and MWCNT nanofluid flow of Falkner-Skan problem with double stratification
- A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order
- Rational and exponential Legendre Tau method on steady flow of a third grade fluid in a porous half space
- The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain
- Numerical solutions of the classical Blasius flat-plate problem
- Analytical solution for the steady flow of the third-grade fluid in a porous half-space
- Analytic network process in supplier selection: a case study in an electronic firm
- A new approach for solving nonlinear Thomas-Fermi equation based on fractional order of rational Bessel functions
- Spectral Methods
- Quasilinearization approach to the resonance calculations: the quartic oscillator
- The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems
- Quasilinearization method and its verification on exactly solvable models in quantum mechanics
- On the modification and convergence of unconstrained optimal control using pseudospectral methods
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs