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Chaos and Complex Systems pp 117–123Cite as

Non-polynomial Spline Solution for a Fourth-Order Non-homogeneous Parabolic Partial Differential Equation with a Separated Boundary Condition

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Abstract

In this paper, a fourth-order non-homogeneous parabolic partial differential equation with initial and separated boundary conditions is solved by using a non-polynomial spline method. In the solution of the problem, finite difference discretization in time, and parametric quintic spline along the spatial coordinate have been carried out. The result shows that the applied method in this paper is an applicable technique and approximates the exact solution very well.

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Author information

Authors and Affiliations

  1. Mathematics - Computer Department, Istanbul Kultur University, 34156, Atakoy Istanbul, Turkey

    N. F. Er, S. Yeniceri, H. Caglar & C. Akkoyunlu

Authors
  1. N. F. Er
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  2. S. Yeniceri
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  3. H. Caglar
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  4. C. Akkoyunlu
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Corresponding author

Correspondence to N. F. Er .

Editor information

Editors and Affiliations

  1. Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Stavros G. Stavrinides

  2. Institute for Mathematical Research, Serdang, Malaysia

    Santo Banerjee

  3. Department of Mathematics - Computer, Istanbul Kultur Unviversity, Istanbul, Turkey

    Suleyman Hikmet Caglar

  4. Department of Physics, Istanbul Kultur University, Istanbul, Turkey

    Mehmet Ozer

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© 2013 Springer-Verlag Berlin Heidelberg

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Er, N.F., Yeniceri, S., Caglar, H., Akkoyunlu, C. (2013). Non-polynomial Spline Solution for a Fourth-Order Non-homogeneous Parabolic Partial Differential Equation with a Separated Boundary Condition. In: Stavrinides, S., Banerjee, S., Caglar, S., Ozer, M. (eds) Chaos and Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33914-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-33914-1_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33913-4

  • Online ISBN: 978-3-642-33914-1

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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