Results 21 to 30 of about 184,541 (267)
Explicit Stable Finite Difference Methods for Diffusion-Reaction Type Equations
Mathematics, 2021 By the iteration of the theta-formula and treating the neighbors explicitly such as the unconditionally positive finite difference (UPFD) methods, we construct a new 2-stage explicit algorithm to solve partial differential equations containing a ...
Humam Kareem Jalghaf +4 more
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Fractal and Fractional, 2023 In this paper, we study the nonlinear Riesz space-fractional convection–diffusion equation over a finite domain in two dimensions with a reaction term.
Merfat Basha +2 more
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Numerical methods for time-fractional convection-diffusion problems with high-order accuracy
Open Mathematics, 2021 In this paper, we consider the numerical method for solving the two-dimensional time-fractional convection-diffusion equation with a fractional derivative of order α\alpha ...
Dong Gang, Guo Zhichang, Yao Wenjuan
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New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation
Mathematical and Computational Applications, 2021 Our goal was to find more effective numerical algorithms to solve the heat or diffusion equation. We created new five-stage algorithms by shifting the time of the odd cells in the well-known odd-even hopscotch algorithm by a half time step and applied ...
Ádám Nagy +4 more
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Fractal and Fractional, 2022 The fractional Fisher equation has a wide range of applications in many engineering fields. The rapid numerical methods for fractional Fisher equation have momentous scientific meaning and engineering applied value.
Ren Liu, Xiaozhong Yang, Peng Lyu
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Fractal and Fractional, 2023 In the current work, a fast θ scheme combined with the Legendre spectral method was developed for solving a fractional Klein–Gordon equation (FKGE). The numerical scheme was provided by the Legendre spectral method in the spatial direction, and for the ...
Yanan Li +3 more
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Physical Sciences and Technology, 2021 The work is dedicated to modeling&turbinecontrol systems and studying the stability of a nonlinear system. The dynamics of the turbine regulationsystem is described by a nonlinear&system of fourdifferential equations.
Zh. T. Bitaeva
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Stable, Explicit, Leapfrog-Hopscotch Algorithms for the Diffusion Equation
Computation, 2021 In this paper, we construct novel numerical algorithms to solve the heat or diffusion equation. We start with 105 different leapfrog-hopscotch algorithm combinations and narrow this selection down to five during subsequent tests.
Ádám Nagy +5 more
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Computation, 2023 New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally
Humam Kareem Jalghaf +3 more
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Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation [PDF]
Mathematics Interdisciplinary Research, 2016 In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the ...
Akbar Mohebbi, Zahra Faraz
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