Results 31 to 40 of about 5,523,783 (116)

A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two‐Dimensional Partial Volterra Integral Equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami   +4 more
wiley   +1 more source

Tricomi Continuants [PDF]

open access: yes
In this paper, we introduce and study the Tricomi continuants, a family of tridiagonal determinants forming a Sheffer sequence closely related to the Tricomi polynomials and the Laguerre polynomials.
Munarini E., Emanuele Munarini
core   +1 more source

On ℬ‐Analog of the Sumudu Transform Associated With the General Quantum ℬ‐Difference Operator

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
We present here a B‐analog of the Sumudu transform defined via a general quantum B‐difference operator which generalizes classical difference operators in the context of quantum calculus, is employed to study the proposed problem. We explore the core characteristics of the B‐Sumudu transform and illustrate its applications in solving B‐initial value ...
Karima M. Oraby   +2 more
wiley   +1 more source

On the global solution problem for semilinear generalized Tricomi equations, I

open access: yes, 2015
In this paper, we are concerned with the global Cauchy problem for the semilinear generalized Tricomi equation ∂2tu ...
Yin, Huicheng, He, Daoyin, Witt, Ingo
core   +1 more source

Incidental Nonspeech Auditory Learning Scaffolds Phonetic, Category, and Word Learning in a Foreign Language Classroom

open access: yesLanguage Learning, Volume 75, Issue 4, Page 1091-1121, December 2025.
Abstract There is considerable lab‐based evidence for successful incidental learning, in which a learner's attention is directed away from the to‐be‐learned stimulus and towards another stimulus. In this study, we extend incidental learning research into the language learning classroom.
Seth Wiener   +2 more
wiley   +1 more source

Solution of the spatial Tricomi problem for a singular mixed-type equation by the method of integral equations [PDF]

open access: yes, 2011
We consider a mixed-type singular differential equation in a bounded spatial domain in a specific form and prove the unique solvability of the Tricomi problem for the mentioned equation.
I. T. Nazipov, Nazipov I.
core   +1 more source

Nonlocal problem for partial differential equations of fractional order

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
A nonlocal problem is investigated for the partial differential equation (diffusion equation of fractional order) in a finite domain. The boundary condition contains a linear combination of generalized operators of fractional integro-differentiation used
Oleg A Repin, Anna V Tarasenko
doaj   +1 more source

Conceptualizing Resilience, Sustainability and Smartness for Building Fire Risk Management

open access: yesSustainable Development, Volume 33, Issue S1, Page 1328-1354, November 2025.
ABSTRACT Resilience, sustainability, and smartness (ReSuSm) within the building construction sector impact, or are impacted by building fires in one way or another. Hence, consideration of ReSuSm for building fire risk management (BFRM) is imperative to enhance safety and mitigate adverse impacts.
Uttama Barua   +3 more
wiley   +1 more source

Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 15, Page 14334-14341, October 2025.
ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki   +2 more
wiley   +1 more source

Uniqueness of Neumann-Tricomi problem in IR/sup 2/. Technical note BN-906. [Energy-integral method]

open access: yes, 1979
Using a variation of the energy-integral method sufficient conditions for the uniqueness of the solution of the Neumann-Tricomi boundary value problem are obtained. A uniqueness theorem is given for a general function.
Aziz, A.K., Schneider, M.
core   +1 more source

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