Approximate analytical solutions of fractional gas dynamic equations
From MaRDI portal
Publication:555400
DOI10.1016/j.amc.2011.03.144zbMath1387.35606OpenAlexW2041275200MaRDI QIDQ555400
Publication date: 22 July 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.144
Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)
Related Items (15)
Numerical treatment of a fractional order system of nonlinear stochastic delay differential equations using a computational scheme ⋮ Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform ⋮ An approach to time fractional gas dynamics equation: quadratic B-spline Galerkin method ⋮ Analytical study of fractional Bratu-type equation arising in electro-spun organic nanofibers elaboration ⋮ An avant-garde handling of temporal-spatial fractional physical models ⋮ Cubic B-spline collocation method for solving time fractional gas dynamics equation ⋮ ADAPTED HOMOTOPY PERTURBATION METHOD WITH SHEHU TRANSFORM FOR SOLVING CONFORMABLE FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ Atangana–Baleanu Derivative with Fractional Order Applied to the Gas Dynamics Equations ⋮ Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform ⋮ Status of the differential transformation method ⋮ Modified iteration method for solving fractional gas dynamics equation ⋮ Numerical solution of linear/nonlinear fractional order differential equations using Jacobi operational matrix ⋮ Classical and nonclassical Lie symmetry analysis to a class of nonlinear time-fractional differential equations ⋮ New analytical method for gas dynamics equation arising in shock fronts ⋮ Novel analysis of fuzzy physical models by generalized fractional fuzzy operators
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential transform method for solving solitary wave with discontinuity
- A note on fractional diffusion equations
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
- Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method
- Generalized Taylor's formula
- Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water
- Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
- Application of Taylor transformation to optimize rectangular fins with variable thermal parameters
- Differential transformation technique for steady nonlinear heat conduction problems
- Upwind methods for hyperbolic conservation laws with source terms
- Finite difference schemes for solving system equations of gas dynamic in a class of discontinuous functions.
- On the two-dimensional differential transform method
- On numerical treatment of the source terms in the shallow water equations
- The solution of the Blasius equation by the differential transformation method.
- Two-dimensional differential transform for partial differential equations
- Some approximate Godunov schemes to compute shallow-water equations with topography.
- Balanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equations
- A generalized differential transform method for linear partial differential equations of fractional order
- Generalized differential transform method: Application to differential equations of fractional order
- An approximation of the analytic solution of the shock wave equation
- Nonlinear partial differential equations in engineering. Vol. II
- A Higher-Order Water-Wave Equation and the Method for Solving It
- Efficient construction of high-resolution TVD conservative schemes for equations with source terms: application to shallow water flows
- He's homotopy perturbation method for solving the shock wave equation
- Quasi-Gas Dynamic Equations
- Approximate equations for long water waves
- A New Approach to the Gas Dynamics Equation: An Application of the Decomposition Method
- Variational methods and applications to water waves
- Flux difference splitting and the balancing of source terms and flux gradients
- Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations
This page was built for publication: Approximate analytical solutions of fractional gas dynamic equations
