- Kourosh Hejazi added an answer:17What is the difference between consistency, stability and convergence for the numerical treatment of any PDE?
- Tarek F Ibrahim added an answer:5How can I solve eigenvalues and eigenvectors of fourth order ODE?
- Danilo Rastovic added an answer:34How is a weak solution of a partial differential equation usefull in Physics and Engineering?
- Philippe Martin added an answer:4Is there any formal way to represent a nonlinear infinite dimensional systems ?
- Elemer Elad Rosinger added an answer:47How can we determine a better function space to solve PDEs?
- Noura Taher added an answer:3How can we make any ODEs or PDEs hybrid dynamic system?
- Pascal GALON added an answer:4What are dissipative and dispersive error for numerical treatment of PDEs?
- Gabriel Caicedo added an answer:2Can somebody tell me how to solve, or give me the solution to this Partial Differential Equation: νz*(∂T/∂z)=α/r*(∂/∂r (r ∂T/∂r))+ μ*((∂/∂r)vz)^2?
- Dongkyu Lee added an answer:7Can the boundary layer problem be solved with parabolic approach of partial differential equation?
- Stephen Mason added an answer:12How can solve the Partial differential equation?
- Pedro J. Torres added an answer:3Is there an analytical expression for the Green function of the 2D Klein-Gordon operator $\Delta u-k^2 u$ with Dirichlet conditions on the circle?
- Amiya K. Pani added an answer:3Can Pazy's Theorem 3.1.1 be extended to the case of nonlinear semigroups?
- Vikash Pandey added an answer:3Does anyone know about the homotopy analysis method in detail?
- Luiz C. L. Botelho added an answer:7Anyone familiar with PDE theory on domains of infinite dimensional Banach spaces?
- Mohammad Said Yousif Ismail added an answer:6In Crank-Nicolson method of solving one dimensional heat equation, what can be the maximum value of r (=k/h^2; k = time step, h = space step)?
- Diamantis Koreas added an answer:5Is it possible to solve a heat equation with Laplace Beltrami condition in 2D? How approximate the Laplace-Beltrami operator ?
- Mohamed Reda Salem added an answer:40What are the advantages of numerical method over analyatical method?
- Xin Yu added an answer:11What are the main drawbacks of traditional approaches to solving partial differential equations?
- Alvaro H. Salas added an answer:2How might one apply differential transformation method in BBME (benjamin bona mahony equation)?
- C. A. A. Carbonel H. added an answer:18Is their any numerical solution for 3rd order partial differential equations?
- Samer Alnussirat added an answer:18Can anybody suggest me the best software for Partial Differential Equations (PDEs) ?
- Daniel Guan added an answer:8How do I solve a system of partial differential equations?
- Shaibu Mohammed added an answer:18What methods exist about finding exact solution of nonlinear partial differential equations?
- Ethungshan Shitiri added an answer:3Why are PDE's used to describe stochastic Calcium oscillation dynamics?
- Paulo Zingano added an answer:5How does one prove this Sobolev-type inequality in R3 ?
- Amaechi J. Anyaegbunam added an answer:19How do I solve higher order coupled PDE's?
- Fatemeh Saghafi added an answer:1How to solve a pantograph equation on maple?
- Panagiotis Giounanlis added an answer:3How to solve the equation of beams on Pasternak nonlinear foundation?
- Amaechi J. Anyaegbunam added an answer:8Hi everybody. Does anyone know if i can solve numerically the 2-D pure advection equation with the Galerkin Method?

For a numerical approach to any practical problems which are framed by Partial Differential Equations, we convert the PDE into any algebric equations with different schemes (implicit or explicit) like FTCS (Forward in time, Central in Space), LAX-Wendroff, etc.

What is consistency, stability and convergence? And how these are tested and defined?