Hongbin Chen
Central South University Forestry and Technology
13 Papers
Hongbin Chen is an academic researcher from Central South University Forestry and Technology. The author has contributed to research in topics: Alternating direction implicit method & Nonlinear system. The author has an hindex of 9, co-authored 12 publications. Previous affiliations of Hongbin Chen include University of Forestry, Sofia & Changsha University of Science and Technology.
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Papers
An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations
TL;DR: An implicit difference scheme with the truncation of order 2 − α ( 0 α 1 ) for time and order 2 for space is considered for the one-dimensional time-fractional Burgers equations and a novel iterative algorithm is proposed and implemented to solve the nonlinear systems.
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A second-order BDF compact difference scheme for fractional-order Volterra equation
TL;DR: The stability and convergence of the compact difference scheme in a new norm are proved by the energy method.
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A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel
TL;DR: A second-order accurate numerical method with graded meshes is proposed and analyzed for an evolution equation with a weakly singular kernel and the comparison between the method on uniform grids and graded grids shows the efficiency.
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An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation
Hongbin Chen,Da Xu,Yulong Peng +2 more
TL;DR: An alternating direction implicit (ADI) fractional trapezoidal rule (FTR) type difference scheme is formulated and analysed for a two-dimensional fractional evolution equation and the L2, H1-stability and convergence are derived.
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A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels
TL;DR: A formally second-order backward differentiation formula (BDF) finite difference scheme is presented for the integro-differential equations with the multi-term kernels to construct a fully discrete difference scheme with the space discretization by the standard central difference formula.
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