Double Laplace decomposition method and finite difference method of time-fractional Schrödinger pseudoparabolic partial differential equation with Caputo derivative
DOI10.1155/2021/7113205zbMath1477.65148OpenAlexW3208151177WikidataQ114069890 ScholiaQ114069890MaRDI QIDQ2051693
Publication date: 24 November 2021
Published in: Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/7113205
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) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Fractional partial differential equations (35R11)
Cites Work
- Generalized fractional derivatives and Laplace transform
- Solvability of pseudoparabolic equations with non-linear boundary condition
- Lie symmetry analysis, invariant subspace method and q-homotopy analysis method for solving fractional system of single-walled carbon nanotube
- The time discontinuous space-time finite element method for fractional diffusion-wave equation
- High-order finite difference technique for delay pseudo-parabolic equations
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- A finite difference method for space fractional differential equations with variable diffusivity coefficient
- New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method
- Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative
- Pseudoparabolic Partial Differential Equations
- Well-Posed Problems for a Partial Differential Equation of Order $2m + 1$
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Double Laplace decomposition method and finite difference method of time-fractional Schrödinger pseudoparabolic partial differential equation with Caputo derivative