In this paper a mathematical model of heat transport in human respiratory tract was developed and solved analytically. By means of computer, the mean intra-temperature was calculated. It was consistent with the experi...In this paper a mathematical model of heat transport in human respiratory tract was developed and solved analytically. By means of computer, the mean intra-temperature was calculated. It was consistent with the experimenatal data.展开更多
This study carries out a complete analysis of time-space solution of hy- drodynamics of pentagonal/decagonal quasicrystals. The behaviors of wave propagation for phonons and diffusion for phasons and coupling between ...This study carries out a complete analysis of time-space solution of hy- drodynamics of pentagonal/decagonal quasicrystals. The behaviors of wave propagation for phonons and diffusion for phasons and coupling between phonon-phason fields are explored explicitly. Comprehensive discussion on physical time-space variations of all hydrodynamic field variables of the alloy quasicrystals is given. The computational spec- imen is simple, convenient in testing computational results, and provides a possibility that is easy to test experimentally. The quantitative results of mass density, viscosity ve- locities, phonon displacements, phason displacements, phonon stresses, phason stresses, viscosity stresses, and their time-space variations help us understand the motion of solid quasicrystals in a hydrodynamic condition （long-wavelength and low-frequency）. The analysis presented in this paper can be used for octagonal and dodecagonal quasicrys- tals and is easily extended to other two-dimensional quasicrystals and three-dimensional icosahedral quasicrystals. Some problems explored by the computational results are also discussed.展开更多
In this paper, the minimal residual （MRES） method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, a...In this paper, the minimal residual （MRES） method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, and a more effective method was presented, which can reduce the operational count and the storage.展开更多
By introducing and extending the G'/G expansion method with the aid of computer algebraic system “Mathematics”, the exact general solutions were obtained for the Burgers-Huxley equation and special form. Final r...By introducing and extending the G'/G expansion method with the aid of computer algebraic system “Mathematics”, the exact general solutions were obtained for the Burgers-Huxley equation and special form. Final results were represented in hyperbolic function, trigonometric function and rational function with arbitrary parameters.展开更多
In this paper,we consider a biharmonic equation with respect to the Dirichlet problem on a domain of a locally finite graph.Using the variation method,we prove that the equation has two distinct solutions under certai...In this paper,we consider a biharmonic equation with respect to the Dirichlet problem on a domain of a locally finite graph.Using the variation method,we prove that the equation has two distinct solutions under certain conditions.展开更多
文摘In this paper a mathematical model of heat transport in human respiratory tract was developed and solved analytically. By means of computer, the mean intra-temperature was calculated. It was consistent with the experimenatal data.
基金Project supported by the National Natural Science Foundation of China(No.11272053)
文摘This study carries out a complete analysis of time-space solution of hy- drodynamics of pentagonal/decagonal quasicrystals. The behaviors of wave propagation for phonons and diffusion for phasons and coupling between phonon-phason fields are explored explicitly. Comprehensive discussion on physical time-space variations of all hydrodynamic field variables of the alloy quasicrystals is given. The computational spec- imen is simple, convenient in testing computational results, and provides a possibility that is easy to test experimentally. The quantitative results of mass density, viscosity ve- locities, phonon displacements, phason displacements, phonon stresses, phason stresses, viscosity stresses, and their time-space variations help us understand the motion of solid quasicrystals in a hydrodynamic condition （long-wavelength and low-frequency）. The analysis presented in this paper can be used for octagonal and dodecagonal quasicrys- tals and is easily extended to other two-dimensional quasicrystals and three-dimensional icosahedral quasicrystals. Some problems explored by the computational results are also discussed.
文摘In this paper, the minimal residual （MRES） method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, and a more effective method was presented, which can reduce the operational count and the storage.
文摘By introducing and extending the G'/G expansion method with the aid of computer algebraic system “Mathematics”, the exact general solutions were obtained for the Burgers-Huxley equation and special form. Final results were represented in hyperbolic function, trigonometric function and rational function with arbitrary parameters.
基金supported by the National Natural Science Foundation of China (Grant No.11721101)by National Key Research and Development Project SQ2020YFA070080.
文摘In this paper,we consider a biharmonic equation with respect to the Dirichlet problem on a domain of a locally finite graph.Using the variation method,we prove that the equation has two distinct solutions under certain conditions.
