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Superconvergence of Volterra-Urysohn integral with weakly singular kernel by iterated Jacobi spectral multi Galerkin method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 14، شماره 4، تیر 2023، صفحه 37-45 اصل مقاله (370.87 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27688.3680 | ||
| نویسنده | ||
| Kapil Kant* | ||
| ABV-Indian Institute of Information Technology and Management, Gwalior, Madhya Pradesh, 474015, India | ||
| تاریخ دریافت: 11 تیر 1401، تاریخ بازنگری: 22 آذر 1401، تاریخ پذیرش: 12 بهمن 1401 | ||
| چکیده | ||
| We propose the iterated Jacobi spectral multi Galerkin method for weakly singular Volterra integral equations of Urysohn type and obtain the superconvergence results in uniform norm. The convergence analysis is discussed in two cases: when the solution is sufficiently smooth and when it is not. To back up our theoretical approach, we present numerical findings. | ||
| کلیدواژهها | ||
| Volterra integral equations؛ weakly singular kernels؛ Jacobi polynomials؛ Iterated Jacobi Spectral multi-Galerkin method؛ Superconvergence results | ||
| مراجع | ||
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