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math.NA2026
A Robust Cell-Centered Nodal Integral Method (RCCNIM) for Nonlinear Burgers' Equation: Accurate Formulation, Efficient Implementation, and Validation
Nadeem Ahmed, Ram Prakash Bharti
An improved formulation of the recently developed cell-centered nodal integral method (MCCNIM) is proposed for the numerical solution of the nonlinear Burgers' equation. The improv…
math.NA2024★ 1 cited
Efficient cell-centered nodal integral method for multi-dimensional Burgers equations
Nadeem Ahmed, Ram Prakash Bharti, Suneet Singh
An efficient coarse-mesh nodal integral method (NIM), based on cell-centered variables and termed the cell-centered NIM (CCNIM), is developed and applied to solve multi-dimensional…