In this work,we study the error estimates of the fully discrete Fourier pseudospectral numerical scheme for solving the nonlocal volume-conserved Allen-Cahn(AC)equation.The time marching method of the numerical scheme...In this work,we study the error estimates of the fully discrete Fourier pseudospectral numerical scheme for solving the nonlocal volume-conserved Allen-Cahn(AC)equation.The time marching method of the numerical scheme is based on the well-known Invariant Energy Quadratization(IEQ)method.We demonstrate that the proposed fully discrete numerical method is uniquely solvable,unconditionally energy stable,and obtain the optimal error estimate of the scheme for both space and time.Additionally,we conduct several numerical tests to verify the theoretical results.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.12261017,62062018)the Foundation of Science and Technology of Guizhou Province(Grant No.ZK[2022]031)the Scientific Research Foundation of Guizhou University of Finance and Economics(Grant Nos.2022KYYB08,2022ZCZX077)。
文摘In this work,we study the error estimates of the fully discrete Fourier pseudospectral numerical scheme for solving the nonlocal volume-conserved Allen-Cahn(AC)equation.The time marching method of the numerical scheme is based on the well-known Invariant Energy Quadratization(IEQ)method.We demonstrate that the proposed fully discrete numerical method is uniquely solvable,unconditionally energy stable,and obtain the optimal error estimate of the scheme for both space and time.Additionally,we conduct several numerical tests to verify the theoretical results.
