Results 81 to 90 of about 79,186 (232)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

Abstract Boundary Delay Systems and Application to Network Flow

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai   +2 more
wiley   +1 more source

An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper considers an inverse heat source localization problem with applications to indoor person localization from temperature measurements. In particular, this inverse problem consists in the reconstruction of the intensity and position of heat sources from observed temperature data.
Simonetta Boria   +5 more
wiley   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang   +2 more
wiley   +1 more source

A Note on Some Novel Laplace and Stieltjes Transforms Associated with the Relaxation Modulus of the Andrade Model

open access: yesAxioms
In the framework of linear viscoelasticity, the authors have previously calculated a novel inverse Laplace transform involving the Mittag–Leffler function in order to calculate the relaxation modulus in the Andrade model. Here, we generalize this result,
Juan Luis González-Santander   +1 more
doaj   +1 more source

Laguerre polynomials and the inverse Laplace transform using discrete data [PDF]

open access: green, 2007
Tran Ngoc Lien   +2 more
openalex   +1 more source

Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye   +6 more
wiley   +1 more source

Simultaneous double transformations of functions depending on space and time

open access: yes, 2013
It is shown that performing simultaneously two transformations on functions of space and time (for instance a Fourier transform on the space variable and a Laplace transform on the time variable) can be easier than performing them one after the other ...
Rossetto, Vincent
core   +1 more source

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