Results 21 to 30 of about 88,452 (260)
SERIES SOLUTION OF LAPLACE PROBLEMS [PDF]
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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This 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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Series Solutions of Three-Dimensional Magnetohydrodynamic Hybrid Nanofluid Flow and Heat Transfer
Hybrid nanofluids have many real-world applications. Research has shown that mixed nanofluids facilitate heat transfer better than nanofluids with one type of nanoparticle. New applications for this type of material include microfluidics, dynamic sealing,
Xiangcheng You, Yanbin Wang
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Solutionsof Fuzzy Goursat Problems with Generalized Hukuhara (gH)-Differentiability Concept
In 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
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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Accurate series solutions for gravity-driven Stokes waves
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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This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
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Series Representations for Uncertain Fractional IVPs in the Fuzzy Conformable Fractional Sense
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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A New Approach Using Integral Transform to Solve Cancer Models
The objective of this work is to investigate analytical solutions of some models of cancer tumors using the Laplace residual power series method (LRPSM).
Rania Saadeh, Ahmad Qazza, Kawther Amawi
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Series solution and minimal surfaces in AdS [PDF]
19 pages, no figures; references added, one note ...
Jevicki, Antal, Jin, Kewang
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