@article {Mohanty:2002:0020-739X:829,
title = "A new discretization method of order four for the numerical solution of one-space dimensional second-order quasi-linear hyperbolic equation",
journal = "International Journal of Mathematical Education in Science and Technology",
parent_itemid = "infobike://tandf/tmes",
publishercode ="tandf",
year = "2002",
volume = "33",
number = "6",
publication date ="2002-11-01T00:00:00",
pages = "829-838",
itemtype = "ARTICLE",
issn = "0020-739X",
eissn = "1464-5211",
url = "https://www.ingentaconnect.com/content/tandf/tmes/2002/00000033/00000006/art00003",
doi = "doi:10.1080/00207390210162465",
author = "Mohanty, R. K. and Arora, Urvashi",
abstract = "Three level-implicit finite difference methods of order four are discussed for the numerical solution of the mildly quasi-linear second-order hyperbolic equation A(x, t, u)uxx + 2B(x, t, u)uxt + C (x, t, u)utt = f(x, t, u, ux, ut), 0 x t > 0 subject to appropriate initial and Dirichlet boundary conditions. A new technique is introduced to obtain the stability range of the wave equation in polar coordinates. Fourth-order approximation at the first time level for a more general case is also discussed. The fourth-order accuracy of the method is demonstrated computationally by four examples.",
}