Results 21 to 30 of about 7,358,373 (294)
Entropy, 2014 The purpose of this paper is to present a new kind of analytical method, the so-called residual power series, to predict and represent the multiplicity of solutions to nonlinear boundary value problems of fractional order.
Omar Abu Arqub +3 more
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Series Solution of a Functional Equation [PDF]
Journal of the Australian Mathematical Society, 1965 In this we will study analytic solutions to the linear functional equationwherefandhare given functions, x is a given complex number and the function g is to be found. This is a generalization of Schröder's functional equation. The results obtained are global in nature and the solutions holomorphic.
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SERIES SOLUTION OF LAPLACE PROBLEMS [PDF]
The ANZIAM Journal, 2018 At the ANZIAM conference in Hobart in February 2018, there were several talks on the solution of Laplace problems in multiply connected domains by means of conformal mapping. It appears to be not widely known that such problems can also be solved by the elementary method of series expansions with coefficients determined by least-squares fitting on the ...
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Accurate series solutions for gravity-driven Stokes waves [PDF]
, 2010 In the past, high order series expansion techniques have been used to study the nonlinear equations that govern the form of periodic Stokes waves moving steadily on the surface of an inviscid fluid.
Michael C. Dallaston +3 more
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MathematicsThis work introduces the General Residual Power Series Method (GRPSM) as a unified analytical framework encompassing the conventional Residual Power Series Method (RPSM) and its Laplace-like transform variants. By deriving a universal coefficient formula,
Pisamai Kittipoom, Jessada Tanthanuch
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Solutionsof Fuzzy Goursat Problems with Generalized Hukuhara (gH)-Differentiability Concept
AxiomsIn this manuscript, we will discuss the solutions of Goursat problems with fuzzy boundary conditions involving gH-differentiability. The solutions to these problems face two main challenges.
Noor Jamal +5 more
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New series of multi-parametric solutions to GYBE: Quantum gates and integrability
Nuclear Physics B, 2023 We obtain two series of spectral parameter dependent solutions to the generalized Yang-Baxter equations (GYBE), for definite types of N12×N22 matrices with general dimensions N1 and N2.
Shahane A. Khachatryan
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Series Representations for Uncertain Fractional IVPs in the Fuzzy Conformable Fractional Sense
Entropy, 2021 Fuzzy differential equations provide a crucial tool for modeling numerous phenomena and uncertainties that potentially arise in various applications across physics, applied sciences and engineering. Reliable and effective analytical methods are necessary
Malik Bataineh +3 more
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On The Power Series Solution to The Nonlinear Pendulum
The Quarterly Journal of Mechanics and Applied Mathematics, 2022 Summary The exact solution to the simple pendulum problem has long been known in terms of Jacobi elliptic functions, of which an efficient numerical evaluation is standard in most scientific computing software packages. Alternatively, and as done in V. Fairén, López and L.
W C Reinberger +3 more
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