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He’s Variational Iteration Method for Solving Convection Diffusion Equations

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Advanced Intelligent Computing Theories and Applications (ICIC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6215))

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Abstract

The variational iteration method is applied to solve convection diffusion equations. These equations play an important role in mathematical,physical and engineering sciences. The exact and approximating solutions will be obtained by variational iteration method. Some examples are given to illustrate the effectiveness and convenience of the method.

Project supported by Guangxi Natural Science Foundation Grant No.2010GXNSFA013114.

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References

  1. Elman, H.C., Silvester, D.J., Wathen, A.J.: Finite Elements and Fast Iterative Solvers. Oxford University Press, Oxford (2005)

    MATH  Google Scholar 

  2. Liu, Z.H.: A Class of Evolution Hemivariational Inequalities, Nonlinear Analysis. TMA 36(1), 91–100 (1999)

    MathSciNet  MATH  Google Scholar 

  3. Liu, Z.H.: Browder-Tikhonov Regularization of Non-coercive Evolution Hemivariational Inequalities. Inverse Problems 21, 13–20 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  4. Liu, Z.H.: Existence Results for Quasilinear Parabolic Hemivariational Inequalities. J. Differential Equations 244, 1395–1409 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Liu, Z.H.: Anti-periodic Solutions to Nonlinear Evolution Equations. J. Functional Analysis 258, 2026–2033 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  6. Liu, Z.H.: On Boundary Variational-hemivariational Inequalities of Elliptic Type. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140(2), 419–434 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  7. He, J.H.: Variational Principles for Some Nonlinear Partial Differential Equations with Variable Coefficients. Chaos Solitons Fractals 19, 847–851 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  8. He, J.H.: Variational Iteration Method-some Recent Results and New Interpretations. J. Comput. Appl. Math. 207, 3–17 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  9. He, J.H., Lee, E.W.M.: Variational Principle for the Differential.Difference system arising in stratified hydrostatic flows. Phys. Lett. A 373, 1644–1645 (2009)

    Article  MATH  Google Scholar 

  10. Liu, J.B., Tang, J.: Variational Iteration Method for Solving an Inverse Parabolic Equation. Phys. Lett. A 372, 3569–3572 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  11. Shou, D.H., He, J.H.: Beyond Adomian Method: The Variational Iteration Method for Solving Heat-like and Wave-like Equations with Variable Coefficients. Phys. Lett. A 372, 233–237 (2008)

    Article  MathSciNet  MATH  Google Scholar 

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Liu, Y., Zhao, X. (2010). He’s Variational Iteration Method for Solving Convection Diffusion Equations. In: Huang, DS., Zhao, Z., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2010. Lecture Notes in Computer Science, vol 6215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14922-1_31

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  • DOI: https://doi.org/10.1007/978-3-642-14922-1_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14921-4

  • Online ISBN: 978-3-642-14922-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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