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A class of new implicit compact sixth-order approximations for Poisson equations and the estimates of normal derivatives in multi-dimensions

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Publication:6568884
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DOI10.1016/j.rinam.2024.100454zbMath1544.65195MaRDI QIDQ6568884

U. C. Niranjan, Ranjan Kumar Mohanty

Publication date: 8 July 2024

Published in: Results in Applied Mathematics (Search for Journal in Brave)



zbMATH Keywords

convergence analysisnormal derivativessixth-order accuracy2D and 3D Poisson equations9-, 19- and 27-point compact uniform meshderivative free technique


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite difference methods for boundary value problems involving PDEs (65N06)








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