Results 21 to 30 of about 88,452 (260)

SERIES SOLUTION OF LAPLACE PROBLEMS [PDF]

open access: yesThe 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 ...
openaire   +2 more sources

General Residual Power Series Method: Explicit Coefficient Derivation and Unified Laplace-like Transform Approach for Fractional PDEs

open access: yesMathematics
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
doaj   +1 more source

Series Solutions of Three-Dimensional Magnetohydrodynamic Hybrid Nanofluid Flow and Heat Transfer

open access: yesNanomaterials
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
doaj   +1 more source

Solutionsof Fuzzy Goursat Problems with Generalized Hukuhara (gH)-Differentiability Concept

open access: yesAxioms
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
doaj   +1 more source

New series of multi-parametric solutions to GYBE: Quantum gates and integrability

open access: yesNuclear 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
doaj   +1 more source

Accurate series solutions for gravity-driven Stokes waves

open access: yes, 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
core   +1 more source

Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients

open access: yesDiscrete Dynamics in Nature and Society, 2018
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
doaj   +1 more source

Series Representations for Uncertain Fractional IVPs in the Fuzzy Conformable Fractional Sense

open access: yesEntropy, 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
doaj   +1 more source

A New Approach Using Integral Transform to Solve Cancer Models

open access: yesFractal and Fractional, 2022
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
doaj   +1 more source

Series solution and minimal surfaces in AdS [PDF]

open access: yesJournal of High Energy Physics, 2010
19 pages, no figures; references added, one note ...
Jevicki, Antal, Jin, Kewang
openaire   +3 more sources

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