2026-09-15T07:32:29Zhttps://gredos.usal.es/oai/request

oai:gredos.usal.es:10366/1563002026-01-13T13:13:42Zcom_10366_4137com_10366_4055com_10366_3946com_10366_3823col_10366_4138

Sriwastav, Nikhil Barnwal, Amit K. Ramos Calle, Higinio Agarwal, Ravi P. Singh, Mehakpreet 2024-03-05T09:58:17Z 2024-03-05T09:58:17Z 2023 Nikhil Sriwastav, Amit K. Barnwal, Higinio Ramos, Ravi P. Agarwal, Mehakpreet Singh. NEW APPROACH BASED ON COLLOCATION AND SHIFTED CHEBYSHEV POLYNOMIALS FOR A CLASS OF THREE-POINT SINGULAR BVPS[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 2162-2183. doi: 10.11948/20220416 2156-907X http://hdl.handle.net/10366/156300 10.11948/20220416 [EN]In the recent decades, variety of real-life problems arises in astrophysics have been mimic using the class of three-point singular boundary value problems (BVPs). Finding an effective and accurate approach for a class of three-point BVPs is still a difficult problem, though. The goal of this paper is to design a numerical strategy for approximating a class of three-point singular boundary value problems using the collocation technique and shifted Chebyshev polynomials. Utilizing shifted Chebyshev polynomials, the problem is reduced to a matrix form, which is then converted into a system of nonlinear algebraic equations by employing the collocation points. The key advantages of the new approach are (a) it is a straightforward mathematical formulation, which makes it effortless to code, and (b) it is easily adaptable to solve various classes of three-point singular boundary value problems. The convergence analysis is carried out to ensure the viability of the proposed scheme. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Shifted Chebyshev polynomials Collocation method three-point singular BVPs Convergence analysis NEW APPROACH BASED ON COLLOCATION AND SHIFTED CHEBYSHEV POLYNOMIALS FOR A CLASS OF THREE-POINT SINGULAR BVPS. info:eu-repo/semantics/article