71 publication(s) trouvée(s)
Article scientifique
Collocation method for fractional differential equations using hybrid fractional-order Chelyshkov functions
Abstract In this paper, we introduce a new numerical method based on the hybrid of fractional-order Chelyshkov functions and block-pulse …
Article scientifique
Numerical solutions for fractional optimal control problems of coupled diffusion systems via Laplace Adomian Decomposition Method
Abstract Fractional diffusion models play a pivotal role in describing anomalous transport processes observed in physics, biology, and engineering. This …
Article scientifique
High-accuracy solution of pantograph differential equations subject to mixed boundary conditions via shifted Vieta–Lucas polynomials
Abstract We propose two precise spectral techniques based on shifted Vieta–Lucas polynomials (SVLPs) for the solution of pantograph-type differential equations …
Article scientifique
Highly accurate method for solving forced Duffing equations with integral boundary conditions
Abstract The main goal of this paper is to come up with a new numerical algorithm for solving a second-order …
Article scientifique
A nearly exact discretization of a two-neuron system with a time delay
Abstract Delay differential equations (DDEs) play a crucial role in modeling dynamical systems where the future state depends on both …
Article scientifique
Numerical solutions for nonlinear ordinary and fractional Newell–Whitehead–Segel equation using shifted Schröder polynomials
Abstract This paper introduces a collocation approach for treating the ordinary and fractional Newell–Whitehead–Segel equation (NWSE). The integer and fractional …
Article scientifique
$q,\omega $-Tricomi expansions and exponential integral associated with Hahn difference operator
Abstract In this paper, we introduce a $q,\omega $ q , ω -analog of Tricomi expansion based on Hahn’s difference …
Article scientifique
Spectral framework using modified shifted Chebyshev polynomials of the third-kind for numerical solutions of one- and two-dimensional hyperbolic telegraph equations
Abstract This investigation discusses a numerical approach to solving the hyperbolic telegraph equation in both one and two dimensions. Applying …
Article scientifique
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach
Abstract Axisymmetric diffusers find wide applications in various industrial processes, including combustion systems, pneumatic conveying, and fluidized bed reactors. Understanding …
Article scientifique
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay
Abstract In this work, we examine a third-order nonlinear neutral integro-differential equation with constant delay. By building a Lyapunov functional, …
Article scientifique
New generalized Jacobi–Galerkin operational matrices of derivatives: an algorithm for solving the time-fractional coupled KdV equations
Abstract The present paper investigates a new method for computationally solving the time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) with initial …
Article scientifique
Numerical solution of nonlinear partial differential equations using shifted Legendre collocation method
Abstract In life important applications are modeled mathematically by nonlinear partial differential equations. Primarily, the objective is to transform such …
Article scientifique
An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions
Abstract In this paper, the fractional-order Chelyshkov functions (FCHFs) and Riemann-Liouville fractional integrals are utilized to find numerical solutions to …
Article scientifique
Adopted spectral tau approach for the time-fractional diffusion equation via seventh-kind Chebyshev polynomials
Abstract This study utilizes a spectral tau method to acquire an accurate numerical solution of the time-fractional diffusion equation. The …
Article scientifique
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term
Abstract The oscillatory behavior of solutions of an even-order differential equation with a superlinear neutral term is considered using Riccati …
Article scientifique
Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay
Abstract In the present paper, we study stochastic stability and stochastic boundedness for the stochastic differential equation (SDE) with multi-delay …
Article scientifique
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity
Abstract We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms …
Article scientifique
Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations
Abstract The purpose of this study is to establish fixed-point results for new interpolative contraction mappings in the setting of …
Article scientifique
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations
Abstract This paper presents a new way to solve numerically multiterm variable-order fractional differential equations (MTVOFDEs) with initial conditions by …
Article scientifique
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres
Abstract This paper is devoted to studying the nonlinear problem with slightly subcritical and supercritical exponents $(S_{\pm \varepsilon}): \Delta ^{2}u-c_{n}\Delta …
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