Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We consider conditions for uniqueness of the solution of the Dirichlet or the Neumann problem for 2-dimensional wave equation inside of bi-quadratic algebraic curve.
Vladimir P. Burskii, Alexei S. Zhedanov
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Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations
Nuclear Physics B, 2020 For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary differential equations for the expansion coefficients of the renormalized Green's ...
Michael Borinsky, Gerald V. Dunne
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Irrational dynamics, superpitchfork bifurcation, and equilibrium hierarchy in a mass–spring system exhibiting chaos and bursting [PDF]
Scientific ReportsThis study explores the impact of force nature (rational, algebraic, irrational) on solution dynamics in mass–spring systems, with a focus on a given square root nonlinearity.
Lejuste Theodore Abobda
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Normalizing the Taylor expansion of non-deterministic {\lambda}-terms, via parallel reduction of resource vectors [PDF]
Logical Methods in Computer Science, 2019 It has been known since Ehrhard and Regnier's seminal work on the Taylor expansion of $\lambda$-terms that this operation commutes with normalization: the expansion of a $\lambda$-term is always normalizable and its normal form is the expansion of the B\"
Lionel Vaux
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Solving inverse non-linear fractional differential equations by generalized Chelyshkov wavelets
Alexandria Engineering Journal, 2023 The purpose of this research is to employ a method involving Chelyshkov wavelets to construct a numerical solution to the inverse problem of determining the right-hand side function of a non-linear fractional differential equation by utilizing over ...
Sertaç Erman, Ali Demir, Ebru Ozbilge
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Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems
Fuzzy Information and Engineering, 2022 We first investigate the solvability conditions of fuzzy LR interval algebraic linear systems with fuzzy LR interval coefficient matrix and fuzzy LR interval hand-right vector.
Mehrnoosh Salari +2 more
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Nontrivial solutions of linear functional equations: methods and examples [PDF]
Opuscula Mathematica, 2015 For a wide class of linear functional equations the solutions are generalized polynomials. The existence of non-trivial monomial terms of the solution strongly depends on the algebraic properties of some related families of parameters.
Adrienn Varga, Csaba Vincze
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Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation [PDF]
Opuscula Mathematica, 2018 A potential vector field is a solution of an extended WDVV equation which is a generalization of a WDVV equation. It is expected that potential vector fields corresponding to algebraic solutions of Painlevé VI equation can be written by using ...
Mitsuo Kato +2 more
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Partial Differential Equations in Applied Mathematics, 2021 In this paper, we use an efficient numerical method based on Sinc Legendre collocation method for numerically solving fractional model in the caputo sense of the Ebola virus. Fractional derivative is used in the Caputo sense.
M.H. Derakhshan
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Analysis of Finite Solution Spaces of Second-Order ODE with Dirac Delta Periodic Forcing
Axioms, 2023 Second-order Ordinary Differential Equations (ODEs) with discontinuous forcing have numerous applications in engineering and computational sciences.
Susmit Bagchi
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