A novel iterative solution for time-fractional Boussinesq equation by reproducing kernel method
DOI10.1007/s12190-020-01353-4zbMath1475.65161OpenAlexW3032697567MaRDI QIDQ2053073
Mehmet Giyas Sakar, Onur Saldır
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-020-01353-4
Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
- Unnamed Item
- Soliton solution of good Boussinesq equation
- Using reproducing kernel for solving a class of fractional partial differential equation with non-classical conditions
- Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space
- Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions
- Theory of reproducing kernels and applications
- The initial-boundary value problem for the ``good Boussinesq equation on the bounded domain
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- On the Cauchy problem for a generalized Boussinesq equation
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On solutions of fractional Riccati differential equations
- An iterative approximation for time-fractional Cahn-Allen equation with reproducing kernel method
- An inexact Newton method for solving complementarity problems in hydrodynamic lubrication
- Numerical investigation for the solitary waves interaction of the good Boussinesq equation.
- Spectral method for solving the time fractional Boussinesq equation
- Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates
- Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations
- Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates
- A hybrid method for singularly perturbed convection-diffusion equation
- Numerical solution of time-fractional Kawahara equation using reproducing kernel method with error estimate
- A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers' equations
- Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
- Numerical Solutions of Fractional Boussinesq Equation
- Reproducing Kernel method for the solution of nonlinear hyperbolic telegraph equation with an integral condition
- Numerical Solutions of the Good Boussinesq Equation
- Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation
- High‐order energy‐preserving schemes for the improved Boussinesq equation
- Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
- Numerical solutions of the improved boussinesq equation by the galerkin quadratic B-spline finite element method
- A <scp>Fourier</scp> pseudospectral method for the “good” <scp>Boussinesq</scp> equation with second‐order temporal accuracy
- Spectrally accurate energy‐preserving methods for the numerical solution of the “good” Boussinesq equation
- Numerical solution of Urysohn integral equations using the iterated collocation method
- Theory of Reproducing Kernels
This page was built for publication: A novel iterative solution for time-fractional Boussinesq equation by reproducing kernel method