Numerical Solutions of Some Partial Differential Equations Using Semi-Analytic Methods

Simple item page
dc.contributor.authorKHOUDER, Ikram
dc.contributor.authorSLIMANI ,Ali
dc.date.accessioned2025-11-25T13:11:10Z
dc.date.available2025-11-25T13:11:10Z
dc.date.issued2025
dc.description.abstractThis work addresses the numerical solution of partial differential equations (PDEs) using semi-analytical methods. We begin by introducing the fundamental principles of PDEs, laying the groundwork for the application of advanced solution techniques. A detailed investigation is then carried out on three widely used semi-analytical methods: the Homotopy Perturbation Method (HPM), the Variational Iteration Method (VIM), and the Adomian Decomposition Method (ADM). The convergence properties of each method are analyzed to assess their reliability and effectiveness in solving nonlinear problems. To demonstrate their practical utility, we apply these methods to the Burgers equation a canonical nonlinear PDE arising in fluid mechanics. The results confirm that semi-analytical methods provide accurate, efficient, and easily implementable solutions, offering a robust alternative to purely numerical approaches
dc.identifier.urihttp://dspace.univ-skikda.dz:4000/handle/123456789/5505
dc.language.isoen
dc.publisherFacultyof Sciences
dc.titleNumerical Solutions of Some Partial Differential Equations Using Semi-Analytic Methods
dc.title.alternativeNumerical Analysis of Partial Differential Equations
dc.typeThesis
Files
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
M-515-00443-1.pdf
Size:
1.16 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed to upon submission
Description:
Download
Collections
Mathématiques