... Licensed re-use rights only Micropolar Navier–Stokes equations Arrow–Hurwicz method Mixed finite element method Convergence rate analysis 65N15 65M60 65M12 Yunnan Key Laboratory of Modern Analytical Mathematics and Applications 202302AN360007 the Natural Science Foundation...

... Error analysis 65M70 65M12 University Grants Commission-SouthEasternRegionalOffice NTA Ref.: 2 211610100146 http://dx.doi.org/10.13039/501100019397 Funding: This work was supported by University Grants Commission - South Eastern Regional Office (NTA Ref.: 2 211610100146...

... 09 01 2025 04 11 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Fractional integro-differential equations Nonuniform meshes Finite difference scheme Stability Convergence 65M06 65M12 Natural Science Foundation...

... processes, and obtaining their numerical solutions is essential for accurately predicting and understanding system behaviors. Among these, nonlinear partial differential equations are crucial for simulating complex phenomena encountered in mechanics, physics, chemistry and biology. 65M70 65M12...

... equation Singular perturbation 65M06 65M12 65M15 65M50 a ( s ) , b ( s ) , c ( s ) , ζ ( s , τ ) ∈ C α k ( D ¯ ) , ϕ 0 ( s , τ ) ∈ C α k + 2 ( B 0 ) , ϕ 1 ( s , τ...

... Limited 2023 Emerald Publishing Limited Licensed re-use rights only Fractional calculus FitzHugh–Nagumo models Proper orthogonal decomposition method Spectral method Error estimate 65M12 65N12 65N30 65N40 Turing systems appear in various biological systems, such as patterns...

... 65M06 65M12 It is witnessed that the ample diversity of dynamics observed in natural systems and applied science cannot be captured by simple models of ordinary and partial differential equations (ODEs and PDEs) (Das et al., 2019 , 2020b , 2022 ; Das and Rana, 2021 ; Priyadarshana...

... © Emerald Publishing Limited 2020 Emerald Publishing Limited Licensed re-use rights only Time delay Uniform convergence Hybrid scheme Parabolic problem Singular perturbation Two parameter problem AMS 65M06 65M12 Consider the following parabolic initial boundary value...

... Coupled systems Uniform convergence Delay differential equations Singularly perturbed problems 65M06 65M12 65M15 Delay differential equations frequently arise in problems with delaying links where certain information processing is needed in the mathematical model of various biological...

... Richardson extrapolation Shishkin mesh Singular perturbed parabolic delay differential equation Turning point Twin boundary layers 65M12 65M30 65M06 65M15 Singularly perturbed delay differential equations are the differential equations in which a small parameter is multiplied...

... of quasi-linear parabolic PDEs. The GBHE is given by: Coupled burgers’ equation Generalized Burgers-Fisher equation Generalized Burgers-Huxley equation Graded mesh Non-linear parabolic equations Spline in tension Newton’s iterative method 65M06 65M12 65M22 65Y20 CSIR-SRF 09...

... Delay parabolic problems Monotone hybrid scheme Thomas algorithm AMS 65M06 65M12 65M50 Singularly perturbed partial differential equations (SPPDEs) appear in different branches of engineering and science. In general differential equations where the highest spatial derivative...