This paper aims to apply the Fourth Order Finite Difference Method (FDM) to solve the one-dimensional unsteady conduction-convection equation with energy generation (or sink) in cylindrical and spherical coordinates. Two applications were compared through exact solutions to demonstrate the accuracy of the proposed formulation.
This paper aims to apply the Fourth Order Finite Difference Method to solve the onedimensional Convection-Diffusion equation with energy generation (or sink) in in cylindrical and spherical coordinates.
This paper aims to apply the High Order Explicit Finite Difference Method to solve the famous Nonlinear 1D Burgers Equation in many orders in time (first, second, third and fourth), changing the order on space twice (second and fourth). Thereby, it was compared the results and it was found the best refinement. Thus, it is expected that this work not only can present or even confirm that in most cases greater refinements imply better numerical precision, but rather serve as a basis for decision-making when analyzing the best spatial and should be considered for numerical accuracy and low computational time.
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