Authors:Xueqin Lv; Jianfang Gao Pages: 1 - 10 Abstract: The Adomian decomposition method (ADM) is an efficient method for solving linear and nonlinear ordinary differential equations, differential algebraic equations, partial differential equations, stochastic differential equations, and integral equations. Based on the ADM, a new analytical and numerical treatment is introduced in this research for third-order boundary-value problems. The effectiveness of the proposed approach is verified by numerical examples. PubDate: 2017-01-01T00:00:00.000Z DOI: 10.1112/S1461157017000018 Issue No:Vol. 20, No. 1 (2017)
Authors:Kamal Shah; Hammad Khalil, Rahmat Ali Khan Pages: 11 - 29 Abstract: Due to the increasing application of fractional calculus in engineering and biomedical processes, we analyze a new method for the numerical simulation of a large class of coupled systems of fractional-order partial differential equations. In this paper, we study shifted Jacobi polynomials in the case of two variables and develop some new operational matrices of fractional-order integrations as well as fractional-order differentiations. By the use of these operational matrices, we present a new and easy method for solving a generalized class of coupled systems of fractional-order partial differential equations subject to some initial conditions. We convert the system under consideration to a system of easily solvable algebraic equation without discretizing the system, and obtain a highly accurate solution. Also, the proposed method is compared with some other well-known differential transform methods. The proposed method is computer oriented. We use MatLab to perform the necessary calculation. The next two parts will appear soon. PubDate: 2017-01-01T00:00:00.000Z DOI: 10.1112/S146115701700002X Issue No:Vol. 20, No. 1 (2017)
Authors:Abdelkrim El Basraoui; John McKay Pages: 30 - 52 Abstract: We describe the Schwarzian equations for the 328 completely replicable functions with integral $q$ -coefficients [Ford et al., ‘More on replicable functions’, Comm. Algebra 22 (1994) no. 13, 5175–5193]. PubDate: 2017-01-01T00:00:00.000Z DOI: 10.1112/S1461157017000031 Issue No:Vol. 20, No. 1 (2017)
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+++++++++++++++-functions+–+RETRACTION&rft.title=LMS+Journal+of+Computation+and+Mathematics&rft.issn=1461-1570&rft.date=2017&rft.volume=20&rft.spage=53&rft.epage=53&rft.aulast=Omar&rft.aufirst=Sami&rft.au=Sami+Omar&rft.au=Raouf+Ouni,+Kamel+Mazhouda&rft_id=info:doi/10.1112/S1461157018000013">On the zeros of Dirichlet $L$ -functions – RETRACTION
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$q$ -coefficients [Ford et al., ‘More on replicable functions’, Comm. Algebra 22 (1994) no. 13, 5175–5193].
