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Cites:

1

Information Journal Paper

Title

ANALYTIC APPROXIMATIONS OF SOLUTIONS TO SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

Pages

  133-146

Abstract

 In this paper, REPRODUCING KERNEL method is presented to obtain the analytical and approximate solutions to system of ordinary differential equations with VARIABLE COEFFICIENTS. The solution obtained by using the method takes the form of a convergent series with easily computable components. In the mean time, the approximate solution un(x) is obtained by the n-term intercept of the analytical solution and is proved to converge to the exact solution. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective.

Cites

References

Cite

APA: Copy

GENG, FAZHAN. (2009). ANALYTIC APPROXIMATIONS OF SOLUTIONS TO SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS. MATHEMATICAL SCIENCES, 3(2), 133-146. SID. https://sid.ir/paper/322492/en

Vancouver: Copy

GENG FAZHAN. ANALYTIC APPROXIMATIONS OF SOLUTIONS TO SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS. MATHEMATICAL SCIENCES[Internet]. 2009;3(2):133-146. Available from: https://sid.ir/paper/322492/en

IEEE: Copy

FAZHAN GENG, “ANALYTIC APPROXIMATIONS OF SOLUTIONS TO SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS,” MATHEMATICAL SCIENCES, vol. 3, no. 2, pp. 133–146, 2009, [Online]. Available: https://sid.ir/paper/322492/en

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