Numerical solution of nonlinear system of Klein–Gordon equations by cubic B-spline collocation method

DOI10.1080/00207160.2014.970182zbMath1328.65255OpenAlexW2045768613MaRDI QIDQ3451423

Rachna Bhatia, Ramesh Chand Mittal

Publication date: 16 November 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.970182

zbMATH Keywords

numerical examplesKlein-Gordon equationcollocationThomas algorithmmodified cubic B-spline basis functioncoupled Klein-Gordon-Schrödinger equationsstrong stability preserving Runge-Kutta 54 scheme

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (4)

Operational Solution to the Nonlinear Klein-Gordon Equation ⋮ Numerical study of the coupled KGS equations using parametric spline function ⋮ Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method ⋮ Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions

Cites Work

• Unnamed Item
• Numerical solution of nonlinear sine-Gordon equation by modified cubic B-spline collocation method
• Semi-explicit symplectic partitioned Runge-Kutta Fourier pseudo-spectral scheme for Klein-Gordon-Schrödinger equations
• Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation
• Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation
• Differential transform method for solving the linear and nonlinear Klein-Gordon equation
• Tension spline approach for the numerical solution of nonlinear Klein-Gordon equation
• Numerical solution of second order one dimensional hyperbolic telegraph equation by cubic B-spline collocation method
• Numerical simulation of interaction between Schrödinger field and Klein-Gordon field by multisymplectic method
• Fourth-order compact solution of the nonlinear Klein-Gordon equation
• The periodic wave solutions for the Klein-Gordon-Schrödinger equations
• A decomposition method for solving the nonlinear Klein-Gordon equation
• Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions
• Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
• Numerical solution of the nonlinear Klein-Gordon equation
• Strong Stability-Preserving High-Order Time Discretization Methods
• Long-term numerical simulation of the interaction between a neutron field and a neutral meson field by a symplectic-preserving scheme
• On the numerical solution of the Klein‐Gordon equation
• Numerical comparison of five difference schemes for coupled Klein–Gordon–Schrödinger equations in quantum physics

This page was built for publication: Numerical solution of nonlinear system of Klein–Gordon equations by cubic B-spline collocation method