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• W4385578251 abstract "Abstract The Klein–Gordon–Schrödinger equations describe a classical model of interaction of nucleon field with meson field in physics, how to design the energy conservative and stable schemes is an important issue. This paper aims to develop a linearized energy‐preserve, unconditionally stable and efficient scheme for Klein–Gordon–Schrödinger equations. Some auxiliary variables are utilized to circumvent the imaginary functions of Klein–Gordon–Schrödinger equations, and transform the original system into its real formulation. Based on the invariant energy quadratization approach, an equivalent system is deduced by introducing a Lagrange multiplier. Then the efficient and unconditionally stable scheme is designed to discretize the deduced equivalent system. A numerical analysis of the proposed scheme is presented to illustrate its uniquely solvability and convergence. Numerical examples are provided to validate accuracy, energy and mass conservation laws, and stability of our proposed method." @default.
• W4385578251 created "2023-08-05" @default.
• W4385578251 creator A5005756384 @default.
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• W4385578251 date "2023-08-04" @default.
• W4385578251 modified "2023-10-06" @default.
• W4385578251 title "An efficient linearly implicit and energy‐conservative scheme for two dimensional Klein–Gordon–Schrödinger equations" @default.
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• W4385578251 doi "https://doi.org/10.1002/num.23064" @default.
• W4385578251 hasPublicationYear "2023" @default.
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