Results 31 to 40 of about 701,369 (343)

Numerical Solution of Nonlinear Backward Stochastic Volterra Integral Equations

open access: yesAxioms, 2023
This work uses the collocation approximation method to solve a specific type of backward stochastic Volterra integral equations (BSVIEs). Using Newton’s method, BSVIEs can be solved using block pulse functions and the corresponding stochastic operational
Mahvish Samar   +2 more
doaj   +1 more source

DIRAC OPERATOR IN MATRIX GEOMETRY [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2005
We review the construction of the Dirac operator and its properties in Riemannian geometry, and show how the asymptotic expansion of the trace of the heat kernel determines the spectral invariants of the Dirac operator and its index. We also point out that the Einstein–Hilbert functional can be obtained as a linear combination of the first two ...
openaire   +3 more sources

High-Order Numerical Solution of Second-Order One-Dimensional Hyperbolic Telegraph Equation Using a Shifted Gegenbauer Pseudospectral Method

open access: yes, 2015
We present a high-order shifted Gegenbauer pseudospectral method (SGPM) to solve numerically the second-order one-dimensional hyperbolic telegraph equation provided with some initial and Dirichlet boundary conditions.
Elgindy, Kareem T.
core   +1 more source

Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this paper, the functional Volterra integral equations of the Hammerstein type are studied. First, some conditions that ensure the existence and uniqueness of the solutions to these equations within the space of square-integrable functions are ...
Sohrab Bazm, Fatemeh Pahlevani
doaj   +1 more source

On a generalized Laguerre operational matrix of fractional integration [PDF]

open access: yes, 2013
A new operationalmatrix of fractional integration of arbitrary order for generalized Laguerre polynomials is derived.The fractional integration is described in the Riemann-Liouville sense.This operational matrix is applied together with generalized ...
Assas, L. M.   +3 more
core   +3 more sources

Matrix valued p-convolution operators [PDF]

open access: yesOperators and Matrices, 2020
Let \(G\) be a locally compact group with Haar measure, and let \(M_n\) be the set of \(n \times n\) matrices, with the \(C^{\ast}\)-norm, over the complex numbers. Throughout this review \(p\) will denote a real number strictly greater than one. We will write \(L^p(G, M_n)\) to indicate the space of \(p\)-integrable functions from \(G\) into \(M_n ...
Ebadian, Ali, Jabbari, Ali
openaire   +1 more source

Numerical solution of fractional delay Volterra integro-ifferential equations Using Shifted Orthogonal Genocci Polynomials

open access: yesپژوهش‌های ریاضی, 2021
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Leila Mansouri, Esmail babolian
doaj  

An Operational Matrix of Fractional Derivatives of Laguerre Polynomials

open access: yesWalailak Journal of Science and Technology, 2014
In this paper, we derive the Laguerre operational matrix (LOM) of fractional derivatives, which is applied together with the spectral tau method for numerical solution of general linear multi-term fractional differential equations (FDEs) on the half line.
Mohamed Abdelhalim ABDELKAWY   +1 more
doaj   +1 more source

Jacobi Spectral Galerkin Method for Distributed-Order Fractional Rayleigh–Stokes Problem for a Generalized Second Grade Fluid

open access: yesFrontiers in Physics, 2020
Distributed-order fractional differential operators provide a powerful tool for mathematical modeling of multiscale multiphysics processes, where the differential orders are distributed over a range of values rather than being just a fixed fraction.
Ramy M. Hafez   +3 more
doaj   +1 more source

New Procedures of a Fractional Order Model of Novel Coronavirus (COVID-19) Outbreak via Wavelets Method

open access: yesAxioms, 2021
Coronaviruses are a group of RNA (ribonucleic acid) viruses with the capacity for rapid mutation and recombination. Coronaviruses are known to cause respiratory or intestinal infections in humans and animals.
Maryamsadat Hedayati   +2 more
doaj   +1 more source

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