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math.NA2022★ 1 cited
Decoupled algorithms for non-linearly coupled reaction-diffusion competition model with harvesting and Stocking
Muhammad Mohebujjaman, Clarisa Buenrostro, Md. Kamrujjaman +1
We propose, analyze and test two novel fully discrete decoupled linearized algorithms for a nonlinearly coupled reaction-diffusion -species competition model with harvesting or…
math.NA2022★ 1 cited
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
Anuj Abhishek, Thuy Le, Loc Nguyen +1
We propose to combine the Carleman estimate and the Newton method to solve an inverse source problem for nonlinear parabolic equations from lateral boundary data. The stability of…