In this paper, the modification of double Laplace decomposition method is pro- posed for the analytical approximation solution of a coupled system of pseudo-parabolic equation with initial conditions. Some examples ar...In this paper, the modification of double Laplace decomposition method is pro- posed for the analytical approximation solution of a coupled system of pseudo-parabolic equation with initial conditions. Some examples are given to support our presented method. In addition, we prove the convergence of double Laplace transform decomposition method applied to our problems.展开更多
In this article,several theorems of fractional conformable derivatives and triple Sumudu transform are given and proved.Based on these theorems,a new conformable triple Sumudu decomposition method(CTSDM)is intrduced f...In this article,several theorems of fractional conformable derivatives and triple Sumudu transform are given and proved.Based on these theorems,a new conformable triple Sumudu decomposition method(CTSDM)is intrduced for the solution of singular two-dimensional conformable functional Burger's equation.This method is a combination of the decomposition method(DM)and Conformable triple Sumudu transform.The exact and approximation solutions obtained by using the suggested method in the sense of conformable.Particular examples are given to clarify the possible application of the achieved results and the exact and approximate solution are sketched by using Matlab software.展开更多
Previous studies revealed the double-peak mode(DPM)in South China precipitation,corresponding to the two stages in the rainy season,i.e.the first rainy stage(FRS)and the second rainy stage(SRS).But observations in rec...Previous studies revealed the double-peak mode(DPM)in South China precipitation,corresponding to the two stages in the rainy season,i.e.the first rainy stage(FRS)and the second rainy stage(SRS).But observations in recent two decades show that the DPM has changed to a single-peak mode(SPM).Both the precipitation amount and the heavy rainfall event frequency enhanced significantly in the gap between the FRS and the SRS in 1991–2010,compared to those in 1961–1990.This change can be linked to the effects of the global warming.During the warmer period,the July sea surface temperature over the western Pacific has greater increases than that over the central and eastern Pacific,especially west of 140°E.It may generate more tropical cyclones(TCs)in the inshore areas and then more typhoon rainfall over South China.On the other hand,the increments of the air temperature over the East Asian continent are greater than those of the SST over the western Pacific under the global warming,which enlarges the land-ocean temperature/pressure contrast and leads to a trend of the earlier onset dates of the Asian summer monsoon(ASM)in recent two decades.Then,the earlier ASM will facilitate the western Pacific subtropical high(WPSH)to retreat earlier from the South China Sea and enhance the convective precipitation in South China between the FRS and the SRS.Also,due to the warmer ocean,the WPSH locates more westward in July,and more moisture will be transported to South China from the southwest side to the WPSTH.All these influences favor a remarkably increasing precipitation in the gap in the warmer period and changes the seasonal cycle from double-peak mode to single-peak mode.展开更多
提出了基于耦合电感单级升压逆变器的光伏并网发电系统,其可在一级变换器中实现升压、逆变、单位功率因数并网和最大功率跟踪(maximum power point tracking,MPPT)的功能。该拓扑在电压源和三相逆变桥间加入包含耦合电感的无源网络,通...提出了基于耦合电感单级升压逆变器的光伏并网发电系统,其可在一级变换器中实现升压、逆变、单位功率因数并网和最大功率跟踪(maximum power point tracking,MPPT)的功能。该拓扑在电压源和三相逆变桥间加入包含耦合电感的无源网络,通过调节桥臂的直通占空比和耦合电感的匝比,实现母线电压的提升。由于桥臂直通成为一种正常工作方式,系统的可靠性得到了提高。此外,采用单级逆变器和通过采样输出电流实现MPPT的方式简化了系统,降低了成本且易于实现。算例结果验证了该方法的可行性。展开更多
文摘In this paper, the modification of double Laplace decomposition method is pro- posed for the analytical approximation solution of a coupled system of pseudo-parabolic equation with initial conditions. Some examples are given to support our presented method. In addition, we prove the convergence of double Laplace transform decomposition method applied to our problems.
基金The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for its funding this Research group No(RG-1440-030).
文摘In this article,several theorems of fractional conformable derivatives and triple Sumudu transform are given and proved.Based on these theorems,a new conformable triple Sumudu decomposition method(CTSDM)is intrduced for the solution of singular two-dimensional conformable functional Burger's equation.This method is a combination of the decomposition method(DM)and Conformable triple Sumudu transform.The exact and approximation solutions obtained by using the suggested method in the sense of conformable.Particular examples are given to clarify the possible application of the achieved results and the exact and approximate solution are sketched by using Matlab software.
基金supported by the National Basic Research Program of China (2012CB417205 and 2013CB430203)the International Cooperation Program of Ministry of Science and Technology of China (2009DFA23010)+1 种基金the Special Research Fund (Meteorology) of Public Welfare Project (GYHY201306033)the National Natural Science Foundation of China (41005037)
文摘Previous studies revealed the double-peak mode(DPM)in South China precipitation,corresponding to the two stages in the rainy season,i.e.the first rainy stage(FRS)and the second rainy stage(SRS).But observations in recent two decades show that the DPM has changed to a single-peak mode(SPM).Both the precipitation amount and the heavy rainfall event frequency enhanced significantly in the gap between the FRS and the SRS in 1991–2010,compared to those in 1961–1990.This change can be linked to the effects of the global warming.During the warmer period,the July sea surface temperature over the western Pacific has greater increases than that over the central and eastern Pacific,especially west of 140°E.It may generate more tropical cyclones(TCs)in the inshore areas and then more typhoon rainfall over South China.On the other hand,the increments of the air temperature over the East Asian continent are greater than those of the SST over the western Pacific under the global warming,which enlarges the land-ocean temperature/pressure contrast and leads to a trend of the earlier onset dates of the Asian summer monsoon(ASM)in recent two decades.Then,the earlier ASM will facilitate the western Pacific subtropical high(WPSH)to retreat earlier from the South China Sea and enhance the convective precipitation in South China between the FRS and the SRS.Also,due to the warmer ocean,the WPSH locates more westward in July,and more moisture will be transported to South China from the southwest side to the WPSTH.All these influences favor a remarkably increasing precipitation in the gap in the warmer period and changes the seasonal cycle from double-peak mode to single-peak mode.
文摘提出了基于耦合电感单级升压逆变器的光伏并网发电系统,其可在一级变换器中实现升压、逆变、单位功率因数并网和最大功率跟踪(maximum power point tracking,MPPT)的功能。该拓扑在电压源和三相逆变桥间加入包含耦合电感的无源网络,通过调节桥臂的直通占空比和耦合电感的匝比,实现母线电压的提升。由于桥臂直通成为一种正常工作方式,系统的可靠性得到了提高。此外,采用单级逆变器和通过采样输出电流实现MPPT的方式简化了系统,降低了成本且易于实现。算例结果验证了该方法的可行性。