... class of nonlinear wave propagation problems. 65M70 35Q53 33C45 65M12 35Q35 Nature Science Foundation of China and Nature Science Foundation of Shanghai 12271365 11771299 22ZR1445400 20JC1413800 Funding: This work is supported by the Nature Science Foundation of China Grants...

... Convergence rate analysis 65N15 65M60 65M12 Yunnan Key Laboratory of Modern Analytical Mathematics and Applications 202302AN360007 the Natural Science Foundation of China 12161095, 12561077 Cross-integration Innovation team of modern Applied Mathematics and Life Sciences in Yunnan...

... 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...

... only Fractional integro-differential equations Nonuniform meshes Finite difference scheme Stability Convergence 65M06 65M12 Natural Science Foundation of Jiangsu Province of China BK20201427 National Natural Science Foundation of China 11701502 http://dx.doi.org...

... 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Jaiswal polynomial Laguerre polynomial Generalized Newell–Whitehead–Segel equation Error analysis 65M70 65M12 Nonlinear differential equations are crucial in modeling numerous...

... differential equation Singular perturbation 65M06 65M12 65M15 65M50 Pratima Rai can be contacted at: pratimarai5@gmail.com 06 09 2023 01 04 2024 12 05 2024 © Emerald Publishing Limited 2024 Emerald Publishing Limited Licensed re-use rights only A mathematical...

... method Error estimate 65M12 65N12 65N30 65N40 Turing systems appear in various biological systems, such as patterns in fish, butterflies, lady bugs, tumor growth and synthetic bacterial population (Shin et al., 2014). We can mention the Gierer–Meinhardt model for pattern...

...-difference equations Time lag Singular perturbation Hybrid scheme Crank-Nicholson scheme 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...

... © 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...