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Finite Differences Method for One Dimensional Nonlinear Parabolic Equation with Double Nonlinearity

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Numerical Analysis and Its Applications (NAA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8236))

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Abstract

The finite differences scheme for finding a numerical solution of the parabolic equation with double nonlinearity is suggested. For this purpose a special auxiliary problem having some advantages over the main problem is introduced. Some properties of the numerical solution are studied and using the advantages of the proposed auxiliary problem, the convergence of the numerical solution to the exact solution in the sense of mean is proven.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computing, Beykent University, Turkey

    Bahaddin Sinsoysal

  2. School of Vocational Studies, Beykent University, Sisli-Ayazaga Campus, 34396, Istanbul, Turkey

    Turgay Coruhlu

Authors
  1. Bahaddin Sinsoysal
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  2. Turgay Coruhlu
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Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technlogies, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl25A, 1113, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Pázm\’{a}ny P\’{e}ter s\’{e}t\’{a}ny 1/C,, Eötvös Loránd University, 1117, Budapest, Hungary

    István Faragó

  3. University of Rousse, 8 Studentska Str.,, 7017, Rousse, Bulgaria

    Lubin Vulkov

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© 2013 Springer-Verlag Berlin Heidelberg

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Sinsoysal, B., Coruhlu, T. (2013). Finite Differences Method for One Dimensional Nonlinear Parabolic Equation with Double Nonlinearity. 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_56

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  • DOI: https://doi.org/10.1007/978-3-642-41515-9_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41514-2

  • Online ISBN: 978-3-642-41515-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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