Results 71 to 80 of about 19,939 (162)
Scientific African: The current article aims to analytically solve the conformable space-time fractional Fokas (CSTFF) equation in (4+1) dimensions. The new sub-equation method is applied to achieve this purpose.
A. S. Rashed +2 more
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Advances in Mathematical Physics, 2016 An operational matrix technique is proposed to solve variable order fractional differential-integral equation based on the second kind of Chebyshev polynomials in this paper. The differential operational matrix and integral operational matrix are derived
Jianping Liu, Xia Li, Limeng Wu
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A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
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Computation, 2018 In this paper, two-dimensional Genocchi polynomials and the Ritz–Galerkin method were developed to investigate the Fractional Diffusion Wave Equation (FDWE) and the Fractional Klein–Gordon Equation (FKGE).
Afshan Kanwal, Chang Phang, Umer Iqbal
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Simple algorithm for judging equivalence of differential-algebraic equation systems. [PDF]
Sci Rep, 2023 Kato S, Zhang C, Kano M.
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Results in Physics, 2019 In our research, we ascertain abundant novel exact traveling wave solutions of (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by two new modified mathematical methods namely called generalized direct algebraic ...
Aly R. Seadawy +2 more
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Exchange effects in composite-particle interaction
EPJ Web of Conferences, 2012 Algebraic version of the orthogonality conditions model is developed by analogy with the algebraic version of the resonating group model. It is shown that all exchange terms excluding ones originated by the exchange kernel of the potential energy can be ...
Tchuvil’sky Yu. M., Igashov S. Yu.
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Vieta-Lucas operational matrix technique for fractional variable-order integro-differential equations [PDF]
Journal of Mahani Mathematical ResearchThe aim of this article is to find an effective method for solving variable-order fractional integro-differential equations. This method transforms the problem into a system of algebraic equations.
Mohsen Riahi Beni
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Differential Equations and Algebras
, 2023 A number of results have been obtained in the field of differential equations, invariant processes, generating functions and Hilbert series, Lie algebras and graded algebras, orbit theory and stability of unperturbed motion according to Lyapunov. Among these results can be mentioned the algebraic solution of the problem of the center and the focus ...
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Two-dimensional fractional algebraic internal solitary waves model and its solution
Advances in Mechanical Engineering, 2019 With the development of theory and advancement of scientific research, fractional calculus has begun to be considered as a method for the study of physical systems. In this work, based on the basic system of equations for internal solitary waves, we have
Yuqing Li +3 more
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