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Function of a Single Variable
Function of Two Variables
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12 formula 20 formula accuracy applied approximation assumed boundary conditions boundary values calculated central differences centre Chapter co-ordinates coefficients conjugate function constant convergence corner correction cylinder derivatives described diamond differential equations digital computer display error everywhere example field finer mesh finite difference formulae flow fourth order free streamline give given guessed values hundred increments integration interpolation irregular stars Jacobian Laplace's equation Laplacian fields large-molecule formulae log 1 jq log jq mesh length mesh points method of differences molecule Navier-Stokes equations necessary neglected terms numerical solution obtained order equations order field partial differential equations plate Poisson's equation problem rectangle reduce residual result Reynolds round settled shown in Fig simple solved stagnation point stream function surrounding points symmetromorphic figure symmetry Table tabulated technique Thom tion twenty unit square formula values of ip variable write zero