USING MULTIQUADRIC QUASI-INTERPOLATION FOR SOLVING KAWAHARA EQUATION

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EZZATI R.; SHAKIBI K.; GHASEMIMANESH M.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2011 | Volume:3 | Issue:2 Page(s): 111-123

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Title

USING MULTIQUADRIC QUASI-INTERPOLATION FOR SOLVING KAWAHARA EQUATION

Author(s)

EZZATI R. | SHAKIBI K. | GHASEMIMANESH M. | Issue Writer Certificate

Keywords

RADIAL BASIS FUNCTION

QUASI-INTERPOLATION

PRESERVING MONOTONICITY

LINEAR REPRODUC-ING

THE KAWAHARA EQUATION

HERMITE INTERPOLATING POLYNOMIAL

Abstract

Multiquadric QUASI-INTERPOLATION is a useful instrument in approximation theory and its applications. In this paper, a numerical approach for solving Kawahara equation (KE) is developed by using multiquadric QUASI-INTERPOLATION method. Obtaining numerical so-lution of KE by multiquadric QUASI-INTERPOLATION is done by a recurrence relation. In this recurrence relation, the approximation of derivative is evaluated directly without the need to solve any linear system of equation. Also, by combining Hermite interpolation and QUASI-INTERPOLATIONLD, another way to solve KE is obtained. The KE occurs in the theory of magneto-acoustic waves in a plasma and in the theory of shallow water waves with surface tension. We test the method in two examples and compare the numerical and exact results.

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APA: Copy

EZZATI, R., SHAKIBI, K., & GHASEMIMANESH, M.. (2011). USING MULTIQUADRIC QUASI-INTERPOLATION FOR SOLVING KAWAHARA EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 3(2), 111-123. SID. https://sid.ir/paper/584721/en

Vancouver: Copy

EZZATI R., SHAKIBI K., GHASEMIMANESH M.. USING MULTIQUADRIC QUASI-INTERPOLATION FOR SOLVING KAWAHARA EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2011;3(2):111-123. Available from: https://sid.ir/paper/584721/en

IEEE: Copy

R. EZZATI, K. SHAKIBI, and M. GHASEMIMANESH, “USING MULTIQUADRIC QUASI-INTERPOLATION FOR SOLVING KAWAHARA EQUATION,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 3, no. 2, pp. 111–123, 2011, [Online]. Available: https://sid.ir/paper/584721/en

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