تقريب دوال هولدر المرجحة باستخدام متعددات حدود فوريه- جاكوبي لمؤثر ستورم- ليوفيل المنفرد
DOI:
https://doi.org/10.21123/bsj.2022.6128الكلمات المفتاحية:
أفضل تقريب، متعددات حدود جاكوبي، معيار النعومة، معادلة ستورم- ليوفيل، فضاءات هولدر المرجحالملخص
تم مناقشة دوال هولدر المرجحة التي تحقق تقارب متعددات حدود جاكوبي لمعادلة ستورم- ليوفيل المنفردة من الدرجة الثانية. هذا يتوافق مع تحويلات جاكوبي المعممة ومعايير النعومة. يهدف هذا البحث ويركز على تحسين طرق التقريب وإيجاد أفضل تقريب على هذا النوع من الفضاءات عن طريق تحسين معايير النعومة. علاوة على ذلك، يتم النظر في بعض خواص معايير النعومة والقيود العليا والسفلى لدرجة تقريب الدالة.
Received 15/3/2021
Accepted 19/1/2022
Published Online First 20/5/2022
المراجع
Caruntu DI. Classical Jacobi polynomials closed-form solutions for transverse vibrations. J Sound Vib. 2007 Oct 9;306(3-5):467-94.
Grober OV, Grober TA, Bychkov AB. Convergence to boundary values in the topology of the inductive limit of generalized holder spaces. IOP Conf Ser: Mater Sci Eng. 2019 Dec 1; 698, 6: 066025. IOP Publishing.
Pirumyan N, Stakyan M. Mathematical model of pressure distribution in the main gas-transport system. IOP Conf Ser Mater Sci Eng. 2019 Dec 1; 698,6:066022. IOP Publishing.
Ditzian Z. Polynomial Approximation and ω_r^ϕ (.,t) Twenty Years Later. arXiv preprint arXiv:0709.2729. 2007 Sep 17.
Grober OV, Grober TA, Bychkov AB. An Analogue of Smirnov's Theorem in Spaces of the Functions which are Inductive Limits of some Hölder Spaces. Mater. Sci. Forum. 2018, 931: 184-187. Trans Tech Publications Ltd.
Platonov SS. Fourier-Jacobi harmonic analysis and approximation of functions. Izvestiya: Mathematics. 2014;78(1):106.
Abed BN, Majeed SJ, Aal-Rkhais HA. Qualitative Analysis and Traveling wave Solutions for the Nonlinear Convection Equations with Absorption. J Phys Conf Ser. 2020 Jul 1; 1591(1) 012052. IOP Publishing.
AL-Saidy S, AL-Jawari N, Zaboon AH. Best Multiplier Approximation of Unbounded Periodic Functions in L_(p,n ) (B),B=[0,2π] Using Discrete Linear Positive Operators. Baghdad Sci J. 2020; 17(3), 0882. https://doi.org/10.21123/bsj.2020.17.3.0882
Aal-Rkhais HA, Ruba HQ. The Development of interfaces in a Parabolic p-Laplacian type diffusion equation with weak convection. J Phys Conf Ser. 2021; 963. 1. IOP Publishing.
Abdulla UG, Aal-Rkhais HA. Development of the Interfaces for the Nonlinear Reaction-Diffusion equation with Convection. IOP Conf Ser Mater Sci Eng. 2019 Jul 1; 571(1) 012012. IOP Publishing.
Al-Smadi M, Arqub OA, Hadid S. An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative. Commun Theor Phys. 2020; 72(8), 085001.
Abed BN, Majeed SJ, and Aal-Rkhais HA. Qualitative Analysis and Traveling wave Solutions for the Nonlinear Convection Equations with Absorption. J. Phys. Conf. Ser. 2020; 1591 012052
Al-Smadi M, Arqub OA, Momani S. Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense. Phys Scr. 2020; 95(7), 075218.
Al-Smadi M, Arqub OA, Zeidan D. Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: theorems and applications. Chaos Solitons Fractals. 2021; 146, 110891.
Al-Smadi M, Arqub OA. Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates. Appl Math Comput. 2019; 342, 280-294.
Al-Smadi M, Freihat A, Khalil H, Momani S, Ali Khan R. Numerical multistep approach for solving fractional partial differential equations. Int J Comput Methods. 2017; 4(03), 1750029.
Hameed EM, Aal-Rkhais HA, Majeed SJ. Some Estimates to Best Approximation of Functions by Fourier-Jacobi Differential Operators. IOP Conf Ser Mater Sci Eng. 2021 Feb 1, 1095(1) 012010. IOP Publishing.
Hussin CHC, Azmi A, Ismail AIM, Kilicman A, Hashim I. Approximate Analytical Solutions of Bright Optical Soliton for Nonlinear Schrödinger Equation of Power Law Nonlinearity. Baghdad Sci J. 2021; 18(1(Suppl.), 0836.
https://doi.org/10.21123/bsj.2021.18.1(Suppl.).0836.
Khosravian-Arab H, Dehghan M, Eslahchi MR. Fractional Sturm–Liouville boundary value problems in unbounded domains: Theory and applications. J Comput Phys. 2015 Oct 15; 299: 526-60.
Jassim HK, Al-Rkhais HA. Fractional Sumudu Decomposition Method for Solving PDEs of Fractional Order. J. Appl. Comput. Mech. 7(1) (2021) 302–311.
Charalambides M, Waleffe F. Spectrum of the Jacobi tau approximation for the second derivative operator. SIAM J Numer Anal. 2008;46(1):280-94
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