SOLUTION OF PARABOLIC EQUATIONS BY THE METHOD OF LEAST SQUARE WITH THE 2ND ORDER SPLINE BASIS FUNCTIONS

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HOSSEIN ZADEH SH.; ARIZI H.

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Paper Information

Journal: JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TABRIZ) Year:2007 | Volume:34 | Issue:1 (46) ELECTRICAL ENGINEERING Page(s): 15-22

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Information Journal Paper

Title

SOLUTION OF PARABOLIC EQUATIONS BY THE METHOD OF LEAST SQUARE WITH THE 2ND ORDER SPLINE BASIS FUNCTIONS

Author(s)

HOSSEIN ZADEH SH. | ARIZI H. | Issue Writer Certificate

Keywords

RADIO WAVE PROPAGATIONQ1

PARABOLIC EQUATION METHODQ1

THE METHOD OF LEAST SQUATEQ1

Abstract

In this paper a novel method for the solution of parabolic equations is presented. The solution of parabolic equation is expanded by the 2nd order spline basis function. Then the expansion coefficients are computed by the least square method (LSM). The minimization of least square functional directly leads to the solution of the parabolic equation. It will be seen that the proposed LSM is more reliable than the split step method, because it can be applied over impedance boundaries in a simple manner. In comparison with the finite difference method, the proposed LSM is very fast.

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APA: Copy

HOSSEIN ZADEH, SH., & ARIZI, H.. (2007). SOLUTION OF PARABOLIC EQUATIONS BY THE METHOD OF LEAST SQUARE WITH THE 2^ND ORDER SPLINE BASIS FUNCTIONS. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TABRIZ), 34(1 (46) ELECTRICAL ENGINEERING), 15-22. SID. https://sid.ir/paper/43800/en

Vancouver: Copy

HOSSEIN ZADEH SH., ARIZI H.. SOLUTION OF PARABOLIC EQUATIONS BY THE METHOD OF LEAST SQUARE WITH THE 2^ND ORDER SPLINE BASIS FUNCTIONS. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TABRIZ)[Internet]. 2007;34(1 (46) ELECTRICAL ENGINEERING):15-22. Available from: https://sid.ir/paper/43800/en

IEEE: Copy

SH. HOSSEIN ZADEH, and H. ARIZI, “SOLUTION OF PARABOLIC EQUATIONS BY THE METHOD OF LEAST SQUARE WITH THE 2^ND ORDER SPLINE BASIS FUNCTIONS,” JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TABRIZ), vol. 34, no. 1 (46) ELECTRICAL ENGINEERING, pp. 15–22, 2007, [Online]. Available: https://sid.ir/paper/43800/en

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