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- W4244314598 abstract "Publisher SummaryThis chapter focuses on method of parameter differentiation that is known in the mathematical literature as the method of continuation. The method involves the solution of a differential equation where a physical parameter appears either in the differential equation or in the boundary conditions. Starting from the known solution for a certain value of the parameter, the solution of the equation for other values of the parameter may be obtained by integrating the rate of change of the solution with respect to the parameter. The general idea of parameter differentiation is derived in the chapter, followed by the application of the method to the solution of four nonlinear boundary-value problems. The general approach of the chapter is to start from the given solution and find the solution for a nearby value of the parameter using the given solution as a first approximation. This process can be continued with the parameter increased each time by a small increment until the required value of the parameter is reached." @default.
- W4244314598 created "2022-05-12" @default.
- W4244314598 date "1979-01-01" @default.
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- W4244314598 title "Chapter 10 Method of Parameter Differentiation" @default.
- W4244314598 doi "https://doi.org/10.1016/s0076-5392(08)61690-2" @default.
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