Results 21 to 30 of about 12,150,207 (310)
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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Advances in Differential Equations, 2019 A powerful analytical approach, namely the fractional residual power series method (FRPS), is applied successfully in this work to solving a class of fractional stiff systems.
A. Freihet +4 more
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Exact power series solutions of the structure equations of the general relativistic isotropic fluid stars with linear barotropic and polytropic equations of state [PDF]
, 2016 Obtaining exact solutions of the spherically symmetric general relativistic gravitational field equations describing the interior structure of an isotropic fluid sphere is a long standing problem in theoretical and mathematical physics.
T. Harko, M. Mak
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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 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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Chaos analysis and explicit series solutions to the seasonally forced SIR epidemic model
Journal of Mathematical Biology, 2019 Despite numerous studies of epidemiological systems, the role of seasonality in the recurrent epidemics is not entirely understood. During certain periods of the year incidence rates of a number of endemic infectious diseases may fluctuate dramatically ...
Jorge Duarte +4 more
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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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On series solutions of Volterra equations [PDF]
Applied Mathematics and Computation, 2006 41 ...
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k-Hypergeometric Series Solutions to One Type of Non-Homogeneous k-Hypergeometric Equations
Symmetry, 2019 In this paper, we expound on the hypergeometric series solutions for the second-order non-homogeneous k-hypergeometric differential equation with the polynomial term.
Shengfeng Li, Yi Dong
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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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