Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations View Full Text


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Article Info

DATE

2019-12

AUTHORS

R. K. Mohanty, Geetan Manchanda, Arshad Khan

ABSTRACT

In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy), 0said method is discussed in detail. The developed method is successfully applied to solving problems in polar coordinates. The method for scalar equation is eventually applied to solving the system of quasilinear elliptic equations. To measure the rationality and precision, the method is applied to solving several noteworthy problems and numerical results are provided to exhibit the effectiveness of the method. More... »

PAGES

47

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13662-019-1968-9

DOI

http://dx.doi.org/10.1186/s13662-019-1968-9

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https://app.dimensions.ai/details/publication/pub.1111838492


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