Results 1 to 10 of about 194,427 (265)
A compact finite difference scheme with absorbing boundary condition for forced KdV equation [PDF]
MethodsX, 2023 Studying the long-time solution behavior of the Korteweg-de Vries (KdV) type equation with a periodic force acting at one end of the long channel is important for simulating the blood flow in artery driven by heart pulses.
Jiaqi Chen, Weizhong Dai
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A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model [PDF]
The Scientific World Journal, 2022 In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model
N. H. Sweilam +3 more
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Construction of invariant compact finite-difference schemes [PDF]
Physical Review E, 2020 In this paper we propose a method, which is based on equivariant moving frames, for development of high-order accurate invariant compact finite-difference schemes that preserve Lie symmetries of underlying partial differential equations. In this method, variable transformations that are obtained from the extended symmetry groups of partial differential
E. Ozbenli, P. Vedula
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Results in Applied Mathematics, 2021 Compact finite difference methods are very popular for solving differential equations that arise in a wide variety of real-world applications. Despite their popularity, the efficiency of these methods is limited by the need for matrix inversion which is ...
Amanuel Hossiso Gatiso +2 more
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Deep FDM: Enhanced finite difference methods by deep learning
Franklin Open, 2023 In this work, we propose a new idea to improve numerical methods for solving partial differential equations (PDEs) through a deep learning approach.
Tatiana Kossaczká +2 more
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Axioms, 2023 This article proposes a family of non-standard methods coupled with compact finite differences to numerically integrate the non-linear Burgers’ equation.
Komalpreet Kaur, Gurjinder Singh
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Advances in Difference Equations, 2020 In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid.
Muhammad Asim Khan +2 more
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Numerical Solution of Time-Fractional Schrödinger Equation by Using FDM
Axioms, 2023 In this paper, we first established a high-accuracy difference scheme for the time-fractional Schrödinger equation (TFSE), where the factional term is described in the Caputo derivative.
Moldir Serik, Rena Eskar, Pengzhan Huang
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Quasi-Compact Finite Difference Schemes for Space Fractional Diffusion Equations [PDF]
Journal of Scientific Computing, 2012 The authors develop a theory of quasi-compact finite difference schemes for the numerical solution of one- and two-space fractional diffusion problems. A finite difference operator for Riemann-Liouville fractional derivatives is proposed. This approach is used for constructing compact weighted and shifted Grünwald difference schemes on uniform meshes ...
Zhou, Han, Tian, WenYi, Deng, Weihua
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Ain Shams Engineering Journal, 2018 The present article is concerned with the implementation of the compact finite difference scheme, in the space and the optimal four-stage, order three strong stability-preserving time-stepping Runge-Kutta (SSP-RK43) scheme, in time for computation of one
Brajesh Kumar Singh +2 more
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