Evaluation of integrals by decomposition

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It is shown that in addition to its advantages for nonlinear and/or stochastic differential equations [1,2], the decomposition method may be preferable even for equations, such as linear deterministic ordinary differential equations which are easily solvable by well-known methods in integral form because the evaluations of the integrals is easier. It is also shown that since solutions of differential equations are easily obtained by decomposition, it can be convenient to change a difficult integration problem to an easily solved differential equation and consequently evaluate the integral in an easily computed convergent series.

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论文评审过程:Received 9 April 1985, Revised 16 December 1985, Available online 21 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(88)90333-0