In this paper, we develop a second-order finite difference approximation scheme and solve the resulting large algebraic system of linear equations systematically using block tridiagonal system [14] and extend the Hockney’s method [15] to solve the three dimensional Poisson’s equation on Cylindrical coordinates system. Matlab solution for implicit finite difference heat equation with kinetic reactions. The general heat equation that I'm using for cylindrical and spherical shapes is: Where p is the shape factor, p = 1 for cylinder and p = 2 for sphere. Boundary conditions include convection at the surface. For more details about the model, please see the comments in the Matlab code below. PROGRAMMING OF FINITE DIFFERENCE METHODS IN MATLAB 3. smoothers, then it is better to use meshgrid system and if want to use horizontal lines, then ndgrid system. We now discuss the transfer between multiple subscripts and linear indexing. The com- mands sub2ind and ind2sub is .
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Solve 2D Transient Heat Conduction Problem using FTCS Finite Difference Method, time: 19:28
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