Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.
Cauchy problems and inverse problems in partial differential equations (PDEs) represent a class of challenging mathematical models where one seeks to determine unknown data inside a domain from ...
We present a high-order compact finite difference approach for a class of parabolic partial differential equations with time-and space-dependent coefficients as well as with mixed second-order ...
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