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5 Years of Endless Tesla ProblemsLT-SCM-SNI method for solving definite solution problems of three-interval composite nonlinear partial differential equations and its application. Xiaoxu Dong. Shun Li.
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Hong Guo. Wei Li. Wenjing Li. Qun Liu. Abstract The definite solution problems of three-interval composite nonlinear partial differential equations PDE under different conditions is studied in the paper.
Firstly, the definite solution problems of three-interval composite nonlinear PDE is transformed into the Authoor value problems of three-interval composite linear of ordinary differential equation ODE by linearization and Laplace transformation LT. Secondly, the solution in Laplace space of the boundary value problems of three-interval composite linear of ODE is obtained through using the similar constructing method SCM.
The solution in real space of the definite solution problems of three-interval composite nonlinear PDE is obtained through using the Stehfest Concernz inversion equation SNI and linearization equation. Finally, the nonlinear spherical seepage model of three-interval composite reservoir under infinite outer boundary conditions is solved through using the LT-SCM-SNI method.
The influence of various parameters on dimensionless bottom-hole transient pressure is studied. The example shows the simplicity and practicability of the method presented in the paper.]
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