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Computational Physics Lectures: Partial differential equations

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Computational Physics Lectures: Partial differential equations

Jacobi Algorithm for solving Laplace's Equation, the algorithm Summarized, this algorithm reads Make an initial guess for \( u_{i,j} \) at all interior points \( (i,j) \) for all \( i=1:n \) and \( j=1:n \) Use Eq. (17) to compute \( u^{m} \) at all interior points \( (i,j) \). The index \( m \) stands for iteration number \( m \). Stop if prescribed convergence threshold is reached, otherwise continue to the next step. Update the new value of \( u \) for the given iteration Go to step 2 « 1 ... 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 ... 98 »

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