Maohua Ran
Sichuan Normal University
16 Papers
11 Citations
Maohua Ran is an academic researcher from Sichuan Normal University. The author has contributed to research in topics: Nonlinear system & Fractional calculus. The author has an hindex of 8, co-authored 16 publications. Previous affiliations of Maohua Ran include Huazhong University of Science and Technology.
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Papers
A linear finite difference scheme for generalized time fractional Burgers equation
TL;DR: In this paper, a linear implicit finite difference scheme for solving the generalized time fractional burgers equation is proposed, which is shown to be globally stable and convergent, and the finite difference method is proved to be unconditional globally stable.
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A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations
Maohua Ran,Chengjian Zhang +1 more
TL;DR: It is shown that an implicit difference scheme is proposed, under the assumption that the analytical solution decays to zero when the space variable x tends to infinity, that conserves the mass and energy and is unconditionally stable with respect to the initial values.
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Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay
TL;DR: In this paper, a linearized compact finite difference scheme is presented for the semilinear fractional delay convection-reaction-diffusion equation, and the solvability, unconditional stability, and convergence in the sense of - and -norms are proved rigorously.
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A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator
Maohua Ran,Chengjian Zhang +1 more
TL;DR: It is proved that the difference scheme is unconditionally stable, and the difference solution converges to the exact one with second order accuracy in both the space and time dimensions.
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Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions
Maohua Ran,Chengjian Zhang +1 more
TL;DR: This paper focuses on the numerical solution of a class of fractional-in-space nonlinear damped wave equations in two space dimensions and establishes a compact alternating direction implicit (ADI) difference scheme with accuracy of fourth- order in space and second-order in time.
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