Fourth-order accurate method based on half-step cubic spline approximations for the 1d time-dependent quasilinear parabolic partial differential equations
Künye
Fourth-order accurate method based on half-step cubic spline approximations for the 1d time-dependent quasilinear parabolic partial differential equations. TWMS Journal Of Applied And Engineering Mathematics, 10(2), 415-427.Özet
In this article, we discuss a fourth-order accurate scheme based on cubic spline approximations for the solution of quasilinear parabolic partial differential equations (PDE). The stability of the scheme is discussed using a model linear PDE. The proposed method is tested on Burgers’ equations in polar coordinates and Burgers-Huxley equation.
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http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2829http://jaem.isikun.edu.tr/web/index.php/archive/105-vol10no2/532
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