High-order half-step compact numerical approximation for fourth-order parabolic PDEs

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

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Sextic B-spline collocation method for solving Euler-Bernoulli beam models
New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation
A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation
A note on solving the fourth-order parabolic equation by the sinc-Galerkin method
Euler-Bernoulli beams from a symmetry standpoint-characterization of equivalent equations
On the operator splitting and integral equation preconditioned deferred correction methods for the ``good Boussinesq equation
A fourth order finite difference method for the good Boussinesq equation
The solution of the Boussinesq equation using the method of lines
Efficient numerical algorithms for the solution of ``good Boussinesq equation in water wave propagation
Constructions of the soliton solutions to the good Boussinesq equation
Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: application to good Boussinesq equation
Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions
A Deuflhard-type exponential integrator Fourier pseudo-spectral method for the ``good Boussinesq equation
Two exponential-type integrators for the ``good Boussinesq equation
Local structure-preserving algorithms for the ``good Boussinesq equation
A second order numerical scheme for the solution of the one-dimensional Boussinesq equation
Numerical Solutions of the Good Boussinesq Equation
A fully Sinc-Galerkin method for Euler-Bernoulli beam models
Efficient structure‐preserving schemes for good Boussinesq equation
Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues
Spectrally accurate energy‐preserving methods for the numerical solution of the “good” Boussinesq equation
Numerical solutions of Boussinesq equation using Galerkin finite element method

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