A novel method to investigate nonlinear advection-diffusion processes

Iterative procedures involving nonlinear operators (47J25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Numerical analysis (65-XX) Fixed-point iterations (47J26) Inverse problems in fluid mechanics (76M21)

Cites Work

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Numerical solution of advection-diffusion equation using a sixth-order compact finite difference method
A meshless approach for solution of Burgers' equation
High-order finite difference schemes for solving the advection-diffusion equation
Solution of Burgers' equation for large Reynolds number using finite elements with moving nodes
An efficient numerical scheme for Burger equation
Entropy stable flux correction for scalar hyperbolic conservation laws
Lagrangian dynamic mode decomposition for construction of reduced-order models of advection-dominated phenomena
A novel approach regarding the fixed points of repelling nature
Numerical solution and stability analysis for a class of nonlinear differential equations
Fourth-order finite difference method for solving Burgers' equation
Numerical aspects of large-time optimal control of Burgers equation
Multidisciplinary Optimization with Applications to Sonic-Boom Minimization
Numerical solutions of linear and nonlinear diffusion equations by a differential quadrature method (DQM)
The Numerical Solutions of a Two-Dimensional Space-Time Riesz-Caputo Fractional Diffusion Equation
Solution of Burgers’ Equation Using a Local-RBF Meshless Method
An exact solution for Burger's equation
Some numerical experiments on the splitting of Burgers' equation
Exact and nonstandard finite difference schemes for the Burgers equationB(2,2)
The partial differential equation u_t + uu_x = μ_xx
On a quasi-linear parabolic equation occurring in aerodynamics