Title of article :
FOURTH-ORDER ACCURATE METHOD BASED ON HALF-STEP CUBIC SPLINE APPROXIMATIONS FOR THE 1D TIME-DEPENDENT QUASILINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
Author/Authors :
MOHANTY, R.K Department of Applied Mathematics - Faculty of Mathematics and Computer Science - South Asian University - Akbar Bhawan - Chanakyapuri - New Delhi, India , SHARMA, S Department of Mathematics - Faculty of Mathematical Sciences - University of Delhi - Delhi, India
Abstract :
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.
Keywords :
Quasi-linear parabolic equations , Uniform mesh , Cubic Spline approximations , Burgers-Huxley equations
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
