On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation

DOI10.31801/cfsuasmas.450209zbMath1489.65121OpenAlexW3030267805MaRDI QIDQ5083688

Sinan Deniz

Publication date: 20 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.450209

zbMATH Keywords

Klein-Gordon equationCrank-Nicholson schemefractional variable order derivative

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) 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) Fractional partial differential equations (35R11)

Related Items (1)

A new efficient technique for solving modified Chua's circuit model with a new fractional operator

Uses Software

• sysdfod
• DFOC

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A mixed finite element method for a time-fractional fourth-order partial differential equation
• On the stability and convergence of the time-fractional variable order telegraph equation
• The time-fractional coupled-Korteweg-de-Vries equations
• On nonlinear fractional Klein-Gordon equation
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Stability and convergence of the space fractional variable-order Schrödinger equation
• Finite difference approximations for fractional advection-dispersion flow equations
• A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques
• New approximate solutions to the nonlinear Klein-Gordon equations using perturbation iteration techniques
• A comparative study on solving fractional cubic isothermal auto-catalytic chemical system via new efficient technique
• A new fractional analysis on the polluted lakes system
• A note on defining singular integral as distribution and partial differential equations with convolution term
• A generalized groundwater flow equation using the concept of variable-order derivative
• A second-order accurate numerical approximation for the fractional diffusion equation
• Solution of fractional differential equations by using differential transform method
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Solving the burgers' and regularized long wave equations using the new perturbation iteration technique
• Semi‐analytical analysis of Allen‐Cahn model with a new fractional derivative
• A novel variable‐order fractional nonlinear Klein Gordon model: A numerical approach
• On a new modified fractional analysis of Nagumo equation

This page was built for publication: On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation