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- W2364436610 abstract "By using the finite difference method,an algorithm to solve a certain nonlinear partial differential equation numerically is given,and the stability of the algorithm is discussed.Precisely,we consider the generalizing heat equation φ/t=2f(φ)/x2 (especially,f is a polynomial with only odd-order terms).By using Richtmyer's linearized method,we reduce the system of nonlinear equations obtained by forward difference method to the system of linear equations.Then we got the solution by the classical numerical algorithm.Finally,similarly to the numerical algorithm for heat equation,we proved the stability of our algorithm for the monomial with odd order." @default.
- W2364436610 created "2016-06-24" @default.
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- W2364436610 date "2013-01-01" @default.
- W2364436610 modified "2023-09-28" @default.
- W2364436610 title "Algorithm for solving certain nonlinear partial differential equation" @default.
- W2364436610 hasPublicationYear "2013" @default.
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