Abstract
In this paper, our interest is studying the stability of difference schemes for the approximate solution of the initial boundary value problem for ultra-parabolic equations. For approximately solving the given problem, the second-order of accuracy modified Crank-Nicholson difference schemes are presented. Theorem on almost coercive stability of these difference schemes is established. Numerical example is given to illustrate the applicability and efficiency of our method.
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Ashyralyev, A., Yilmaz, S. (2013). Modified Crank-Nicholson Difference Schemes for Ultra Parabolic Equations with Neumann Condition. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_18
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DOI: https://doi.org/10.1007/978-3-642-41515-9_18
Publisher Name: Springer, Berlin, Heidelberg
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