A combined efficient method for approximate two-dimensional integral equations
Publish Year: 1403
Type: Journal paper
Language: English
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Document National Code:
JR_JDMA-9-4_002
Index date: 3 December 2024
A combined efficient method for approximate two-dimensional integral equations abstract
In this paper, we combine the two-dimensional (2D) Haar wavelet functions (HWFs) with the block-pulse functions (BPFs) to solve the 2D linearVolterra-Fredholm integral equations (2D-L(VF)IE), so we present a new hybrid computational effcient method based on the 2D-HWFs and 2D-BPFs to approximate the solution ofthe 2D linear Volterra-Fredholm integral equations. In fact, the HWFs and theirrelations to the BPFs are employed to derive a general procedure to formoperational matrix of Haar wavelets. Theoretical erroranalysis of the proposed method is done. Finally some examples arepresented to show the effectiveness of the proposed method.
A combined efficient method for approximate two-dimensional integral equations Keywords:
A combined efficient method for approximate two-dimensional integral equations authors
Mohsen Fallahpour
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Reza Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Elham Hashemizadeh
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
