Articles with "exponential jacobi" as a keyword



Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains

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Published in 2020 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2020.05.017

Abstract: Abstract Modeling an infinite domain arises while simulating physical applications frequently. It is like attempting to model the effects and properties of the ocean in a bucket. In this paper, we develop a spectral Galerkin… read more here.

Keywords: exponential jacobi; unbounded domains; galerkin method;

A Spectral Approach to Solve High-Order Ordinary Differential Equations: Improved Operational Matrices for Exponential Jacobi Functions

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Published in 2025 at "Mathematics"

DOI: 10.3390/math13193154

Abstract: This paper presents a novel numerical approach to handling ordinary differential equations (ODEs) with initial conditions (ICs) by introducing generalized exponential Jacobi functions (GEJFs). These GFJFs satisfy the associated ICs. A crucial part of this… read more here.

Keywords: differential equations; jacobi functions; ordinary differential; exponential jacobi ... See more keywords