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作者:Wenzhen Qu , Yaoming Zhang , Chein-Shan Liu
来源:[J].Archive of Applied Mechanics(IF 1.035), 2017, Vol.87 (7), pp.1213-1226
摘要:This paper presents new regularized boundary integral equations (BIEs) for elastic displacement gradients in three dimensions and then combines them by the generalized Hooke’s law to calculate the boundary stress. In the new regularized BIEs, two special tangential vectors a...
作者:Chein-Shan Liu , Lin Qiu , Ji Lin
来源:[J].Applied Mathematical Modelling(IF 1.706), 2020, Vol.79, pp.284-299
摘要:Abstract(#br)This study develops a simple and effective numerical technique, which aims to accurately and quickly address thin plate bending problems. Based on the given boundary conditions, the thin plate homogenization function is constructed and a family of two-parameter homog...
作者:Chein-Shan Liu , Jiang-Ren Chang
来源:[J].Applied Mathematics Letters(IF 1.501), 2020, Vol.102
摘要:Abstract(#br)The present paper develops two iterative algorithms to determine the periods and then the periodic solutions of nonlinear jerk equations. We consider two possible cases: initial values unknown and initial values given. A shape function method is introduced, by which ...
作者:Chein-Shan Liu
来源:[J].International Journal of Heat and Mass Transfer(IF 2.315), 2020, Vol.151
摘要:Abstract(#br)In the paper, we solve Calder o ´ n’s inverse conductivity problems in a rectangular plane domain and in an arbitrary plane domain, to recover an unknown heat conductivity function σ ( x, y ) inside a material object. Firstly, the homogeniza...
作者:... Li-Wen Yang , Qiang Xi , Chein-Shan Liu
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2020
摘要:Abstract(#br)This paper applies a semi-analytical boundary collocation method, the singular boundary method (SBM), in conjunction with the dual reciprocity method (DRM) and Laplace transformation technique to solve anomalous heat conduction problems under functionally graded mate...
作者:Chein-Shan Liu , Lin Qiu , Fajie Wang
来源:[J].Applied Mathematics Letters(IF 1.501), 2018
摘要:Abstract(#br)We solve the inverse source problem of a nonlinear wave equation, developing a family of m -order homogenization functions. When the solution is solved using the superposition of the homogenization functions, the unknown space-time dependent wave source function can ...
作者:Chein-Shan Liu , Peifang Wang , Jiang-Ren Chang
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2017, Vol.326, pp.87-98
摘要:Abstract(#br)In this paper we develop a weak-form integral equation method for an advection–diffusion equation with an unknown pollutant source and unknown initial pollution profile by using Green’s second identity in terms of boundary conditions on the whole space–time...
作者:Chein-Shan Liu , Chih-Wen Chang
来源:[J].Applied Mathematics Letters(IF 1.501), 2018, Vol.83, pp.219-226
摘要:Abstract(#br)The second-order time-varying nonlinear singularly perturbed problem is transformed to a weak-form integral equation by using the adjoint test functions. The weak-form integral equation method together with the fractional order exponential trial functions as the base...
作者:Chein-Shan Liu , Lin Qiu , Ji Lin
来源:[J].International Journal of Heat and Mass Transfer(IF 2.315), 2019, Vol.141, pp.651-657
摘要:Abstract(#br)The paper solves the higher-dimensional inverse heat source problems of nonlinear convection-diffusion-reaction equations in 2D rectangles and 3D cuboids, of which the final time data and the Neumann boundary data on one-side are over-specified. Firstly, we deri...
作者:Chein-Shan Liu
来源:[J].Journal of Computational and Applied Mathematics(IF 0.989), 2017
摘要:Abstract(#br)The Trefftz method is a truly meshless boundary-type method, because the trial solutions automatically satisfy the governing equation. In order to stably solve the high-dimensional backward wave problems and the one-dimensional inverse source problems, we develop a m...

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