Algorithmic aspects of software realization of the FD-method for the solution of the nonlinear Klein-Gordon equation

DOI10.1007/s10958-014-1703-8zbMath1300.65059OpenAlexW1984735084MaRDI QIDQ461492

D. S. Sember, Denis V. Dragunov, Volodymyr L. Makarov

Publication date: 10 October 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1703-8

zbMATH Keywords

complexitynumerical examplefinite difference methodhomotopy methodnonlinear Klein-Gordon equationfunctional-discrete method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with quantum mechanics (35Q40) Complexity and performance of numerical algorithms (65Y20)

Cites Work

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• Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
• One hyperbolic equation in a three-dimensional space
• Practical formulae for the calculus of multivariable Adomian polynomials
• Adomian's polynomials for nonlinear operators
• FD-method for solving the nonlinear Klein-Gordon equation
• A numerical-analytic method for solving the Cauchy problem for ordinary differential equations
• Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces
• Particle states of a quantized meson field
• A model unified field equation
• A Metod with a Controllable Exponential Convergence Rate for Nonlinear Differential Operator Equations
• Generalization of a Thiele fraction

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