[PDF] Top 20 Numerical solution of the Falkner Skan equation using third order and high order compact finite difference schemes

... the solution of the FS equation, see for example Hartree (1937), Asaithambii (1997), Asaithambi (1998, 2004b, 2005), Abbasbandy (2007), Alizadeh et ...to numerical solution is to reduce the ... See full document

... traditional numerical method for solving MDPE is the ADI method, which replaces complex multi-dimensional problems with a number of one-dimensional ...the equation needed to be solved in each step is ... See full document

... of numerical methods, each with their own pros and cons. Finite difference method (FDM) is the most popular numerical technique which is used to approximate solutions to differential equations ... See full document

... exact solution of most equations; for obtaining a more accurate numerical solution one needs to add more nodes and use smaller mesh sizes, which would require more storage space and computing time ... See full document

... exact solution for the GKS equation because of its complex nonlinearity, thus, it is solved by numerical ...Meanwhile,GKS equation is also an important model for testing various ... See full document

... a compact least-squares finite volume procedure [64], a third-order finite-volume technique [17], development of a high-order finite volume method based on moving ... See full document

... GRRLW equation is constructed, and the discrete conservative laws of the difference scheme are ...the numerical solutions is also ...GRRLW equation are obtained, and the convergence and stability of ... See full document

... In order to shed some light on the above factors, Awartani, Ford and Hamdan, [16], and Siyyam,Ford and Hamdan, [14], considered the flow of a viscous fluid in a two-dimensional curvilinear ...domain using ... See full document

... appropriate finite compact centered schemes on stag- gered grids, a fourth-order accuracy in space was obtained in ...fourth order accurate numerical method, is not able to model ... See full document

... usual numerical treatment of singular-perturbation problems gives major computational ...sixth-order compact finite difference method and Rashidinia et ...the numerical results ... See full document

... the solution of difference equation (), we use exactly the same method that we have used for the solution of difference equation ...Thus, using the formulas and matrices above, the ... See full document

... In order to reduce the computational cost of HOC method, there has been growing work to de- velop HOC-ADI ...the solution of the unsteady 2D Schrödinger ...ADI compact finite difference scheme for ... See full document

... Conclusion The proposed higher-order finite-difference schemes are easy for implementation and can be used for a numerical solution of two-dimensional coupled Burgers’ equation with high[r] ... See full document

... with numerical solution methods for solving convection-diffusion equation as it plays an important role in computational fluid dynamics ...on high order compact (HOC) ... See full document

... Oscillation is one of the main topics of interest in the study of difference equations. Active research is on in the last few decades in analyzing the oscillatory behavior of the solution of ... See full document

... In order to consider these uncertain factors, fuzzy set theory is a powerful tool for modeling uncertainty and for processing vague or subjective information in a mathemati- cal ... See full document

... but c does not depend on λ and μ. It is found that the water flow oscillates regularly that is pe- riodic for x = 5.0, x = 10.0, x = 15.0, x = 20.0 and x = 25.0 against t. Here the time t defined over the interval [0, ... See full document

... It is important to note that many nonlinear difference equations and systems can be reduced to some special cases of equation (), which means that they are solvable too. Some interest in the area has been renewed ... See full document

... 5. Brzde¸k, J: On the Cauchy difference on normed spaces. Abh. Math. Semin. Univ. Hamb. 66, 143-150 (1996) 6. Ebanks, B: Generalized Cauchy difference functional equations. Aequ. Math. 70, 154-176 (2005) 7. Ebanks, B: ... See full document

... NSFD schemes within the context of fractional- order problems and study their potentials in replicating some of the main properties of the true solution ...the numerical simulation, by means ... See full document