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
Elman, H.C., Silvester, D.J., Wathen, A.J.: Finite Elements and Fast Iterative Solvers. Oxford University Press, Oxford (2005)
Liu, Z.H.: A Class of Evolution Hemivariational Inequalities, Nonlinear Analysis. TMA 36(1), 91–100 (1999)
Liu, Z.H.: Browder-Tikhonov Regularization of Non-coercive Evolution Hemivariational Inequalities. Inverse Problems 21, 13–20 (2005)
Liu, Z.H.: Existence Results for Quasilinear Parabolic Hemivariational Inequalities. J. Differential Equations 244, 1395–1409 (2008)
Liu, Z.H.: Anti-periodic Solutions to Nonlinear Evolution Equations. J. Functional Analysis 258, 2026–2033 (2010)
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)
He, J.H.: Variational Principles for Some Nonlinear Partial Differential Equations with Variable Coefficients. Chaos Solitons Fractals 19, 847–851 (2004)
He, J.H.: Variational Iteration Method-some Recent Results and New Interpretations. J. Comput. Appl. Math. 207, 3–17 (2007)
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)
Liu, J.B., Tang, J.: Variational Iteration Method for Solving an Inverse Parabolic Equation. Phys. Lett. A 372, 3569–3572 (2008)
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)
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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
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