[PDF] Top 20 Grid expansion factor for the shooting method solution of convection diffusion equation

... Euler shooting method is the focus of the next section of this ...general solution of the CDE will be taken as a basis to obtain the grid expansion factor 𝑟 𝑒 that permits ... See full document

... beam equation, and predicting convection-dominated flow, ...Kolmogorov equation [33] and the existence of multiple solutions in an indefinite Neumann problem ...the method yields, in some ... See full document

... The reduction of simulation time by means of lattice Boltzmann scheme (LBS) was discussed by [1] and [6], where the performance of LBS was found to be similar to that of one-step second-order Lax–Wendroff scheme, and ... 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 ...of ... See full document

... the convection-diffusion-reaction equation is smaller that the convective ...called convection- dominated ...numerical solution of convection-dominated equations, non-physical ... See full document

... Each method has their strengths and ...straightforward method, it is often used in developing numerical formulations to deal with initial and boundary value ...difference method is that Taylor series ... See full document

... a convection-dominated problem (see, ...the convection stretching out to the right-hand ...unstructured grid depicted in Figure ...MK method since several plots lie outside the scale of the ... See full document

... Another related problem is to obtain reliable estimates of the accuracy of the computed numerical solution. A priori estimate are often insufficient and can’t be used to estimate the exact error. Therefore, it is ... See full document

... The analytical scheme (5) allows not only receiving the approached analytical solution, but also gives the chance in creation of the qualitative scheme. For example, from (5) at in regular intervals disposition of ... See full document

... computational grid to discretize the governing partial differential equations ...series expansion and compact scheme to obtain approximations to the derivatives of the variables with respect to the ... See full document

... numerical solution without spurious oscillations (discrete maximum ...steady-state equation [2, 3, 8, 9, 13] as well as for the time-dependent equation [6, 11, ...linear equation in such a ... See full document

... data, solution of parametric partial differential equations and control problems, among ...Karhunen-Loève’s expansion (KLE) provides a reliable procedure for a low dimensional representation of ... See full document

... Many physical problems involve the combination of convective and diffusive processes. Convection-diffusion problems arise frequently in many areas of ap- plied sciences and engineering. They occur in fields ... See full document

... from Equation (12) that the chosen basis function meets the boundary conditions and can be consi- dered as a solution to the ...Substituting Equation (12) into Equation (6), the left-hand side ... See full document

... numerical method to determine the steady-state solution of the corresponding convection-diffusion equation for the two flow-fields is ...when diffusion in the transverse ... See full document

... where 0 < α < β ≤ 1 and A and B are positive dimensionless constants. A possible application of this equation is in econophysics where there is an in- creasing interest in modelling using CTRWs [28–34]. In ... See full document

... been successfully applied to find the solution of space fractional diffusion equation. All cases show that the results of the ADM method are very good and the ob- tained solutions are shown ... See full document

... Kutta method is replaced by Adams-Bashforth-Moulton method, both for systems of ODEs. MNLSM showed to be efficient and is easy for implementation. Numerical results are given to show the performance of ... See full document

... and Crump (1976) found that T = 0.8fmax, E ~ 10'6 yields accurate results for a wide range of times, t, where t E [ 0 , / ^ and tmx is the maximum simulation time. The only remaining variable required is the number of ... See full document

... numerical solution of Convection-Diffusion equation with a memory term subject to initial boundary value ...difference method in combination with product trapezoidal integration rule is used to ... See full document