Results 11 to 20 of about 1,497,624 (355)

Some families of differential equations associated with the Gould-Hopper-Frobenius-Genocchi polynomials

AIMS Mathematics, 2022
The basic objective of this paper is to utilize the factorization technique method to derive several properties such as, shift operators, recurrence relation, differential, integro-differential, partial differential expressions for Gould-Hopper-Frobenius-
Rabab Alyusof , Mdi Begum Jeelani
doaj   +1 more source

Hyena neural operator for partial differential equations

APL Machine Learning, 2023
Numerically solving partial differential equations typically requires fine discretization to resolve necessary spatiotemporal scales, which can be computationally expensive. Recent advances in deep learning have provided a new approach to solving partial
Saurabh Patil, Zijie Li, Amir Barati Farimani   +2 more
doaj   +1 more source

On Solutions of Fractional order Telegraph Partial Differential Equation by Crank-Nicholson Finite Difference Method

Applied Mathematics and Nonlinear Sciences, 2020
The exact solution is calculated for fractional telegraph partial differential equation depend on initial boundary value problem. Stability estimates are obtained for this equation. Crank-Nicholson difference schemes are constructed for this problem. The
Mahmut Modanlı, Ali Akgül
semanticscholar   +1 more source

Renormalizing partial differential equations [PDF]

, 2008
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations. We discuss many applications, including the stability of profiles and fronts in the Ginzburg-Landau equation,
Bricmont, J., Kupiainen, A.
openaire   +2 more sources

Nonlinear differential equation with first order partial derivatives

Вестник КазНУ. Серия математика, механика, информатика, 2018
The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

Arithmetic partial differential equations, I

Advances in Mathematics, 2010
Updated version of paper includes new results on ...
Buium, Alexandru, Simanca, Santiago R.
openaire   +4 more sources

Novel Bäcklund Transformations for Integrable Equations

Mathematics, 2022
In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
doaj   +1 more source

High-precision quantum algorithms for partial differential equations [PDF]

Quantum, 2020
Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs, Jin-Peng Liu, Aaron Ostrander   +2 more
semanticscholar   +1 more source

Solving Partial Differential Equations Using Deep Learning and Physical Constraints

Applied Sciences, 2020
The various studies of partial differential equations (PDEs) are hot topics of mathematical research. Among them, solving PDEs is a very important and difficult task.
Yanan Guo, Xiaoqun Cao, Bainian Liu, Mei Gao   +3 more
doaj   +1 more source

Implicit Partial Differential Equations [PDF]

, 1999
Progress in Nonlinear Differential Equations and their Applications ...
B. DACOROGNA, MARCELLINI, PAOLO
openaire   +2 more sources