[PDF] Top 20 Numerical Solution of Heat Equation with

... the numerical solution of one-dimensional heat diffusion equation subject to Robin boundary conditions multiplied with a small parameter epsilon greater than ...The ... See full document

... productivity of the process, the possibility of formation of a dead zone should be taken into ...coordinate of the zone-end (the greater the value of coordinate the larger the dead ... See full document

... deals with Newton-Raphson method combined with Riks Arc-Length ...techniques of resolution are different from previous ...relevance of our ... See full document

... model of a partial differ- ential equation with discontinuous “on-off” switches in the forcing term, we investigate the effect of the model error generated by the traditional discretization ... See full document

... the equation in [19, ...soliton solution was derived with the ansatz method and the perturbation theory was ...(shock) solution of the generalized Rosenau-KdV equation ...the ... See full document

... results of the numerical experiments are presented in Tables 1 to ...number of iterations for both the acceleration schemes and Krylov subspace acceleration methods reduced drastically with ... See full document

... discretization of the second-order linear Fredholm integro-differential equations by using quadrature and finite difference ...efficiency of the GMRES method, Gauss-Seidel (GS) method was used for ... See full document

... T x, y, t ∑ T t N x, y (6) Where N x, y ; i , , are the shape functions for the triangle.These shape functions are defined as [8] Depending upon the situation sometimes we do not feel comfortable with the ... See full document

... Nonetheless, unlike the other two solutions shown, the DGM results do not approx- imate as well as the feed-forward one. Figure (3.4) shows the cross-sectional plots. The main problem with the solution is ... See full document

... evaluation of influence of selected parameters on sensitivity of a numerical model of ...the heat conduction equation with a heat source and solved using the ... See full document

... and numerical integration of stochastic and random differential equations together with the local linearization technique to construct an exponential-based integrator to ...the solution ... See full document

... where r, u, P, d, and t are the den sity, ve loc ity, pres sure, Kronecker delta func tion, and shear stress of fluid, re spec tively. The J is the mass diffusivity flux, w – the source term as so ci ated ... See full document

... matician of great importance. He was with Napoleon in Egypt between 1798 and 1801, and he was subsequently prefect of the administra- tive area (or “Department”) of Isère in France until ... See full document

... sequence of solitary waves is ...12.51 with h = ...pair of waves such that, one wave has negative amplitude while the other one has positive as indicated in Figure ...values of the quantities ... See full document

... presence of a distributed heat source f ...hard of to solve analytically, while a direct numerical approach requires a very fine discretization of the domain in order to capture the ... See full document

... In this work, the Block-Pulse functions and their good properties has been successfully applied to construct approximate solutions for higher order linear and nonlinear weakly singular Volterra integral equation ... See full document

... reaction with ferroelectric behavior in brain waves models (see ...standpoint of nonlinear dynamics, it represents a model which exhibits an extremely rich bifurcation ...degree of tendency of ... See full document

... uniqueness of the solution and an approximate numerical solution for the model of linear thermoelasticity with moving ...method with finite difference for evolution in ... See full document

... properties of them is ...the solution of the two-dimensional Fredholm integral equation ...a numerical example is solved and compared with the results of the method in ... See full document

... matrices of integration and the product for ALPs is ...together with the collocation method are applied to reduce the solution of integral equation ...(1.1) with assumption (1.2) ... See full document