Results 51 to 60 of about 3,512 (232)

Gradient Crystal Plasticity Modeling of Laminate Microstructures

GAMM-Mitteilungen, Volume 48, Issue 4, November 2025.
Abstract Metallic materials may show an ultra‐fine lamellar morphology leading to desirable macroscopic mechanical properties. In this paper, an analytical method for modeling the size‐dependent mechanical behavior of material systems with lamellar microstructure is proposed.
Claudius Klein, Thomas Böhlke
wiley   +1 more source

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +1 more source

Integrating evolution equations using Fredholm determinants

Electronic Research Archive, 2021
<p style='text-indent:20px;'>We outline the construction of special functions in terms of Fredholm determinants to solve boundary value problems of the string spectral problem. Our motivation is that the string spectral problem is related to the spectral equations in Lax pairs of at least three nonlinear evolution equations from mathematical ...
openaire   +2 more sources

A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi   +2 more
wiley   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials

Журнал Белорусского государственного университета: Математика, информатика, 2019
The paper is constructed and proved computational scheme for a solution of singular Prandtl of integro-differential  equations with singular integral over the interval of the real axis, understood in the sense of the Cauchy principal value.
Galina A. Rasolko
doaj  

Truncated Weighted Singular Value Decomposition Solution of Tikhonov Regularized Softening Shear Band Problems in Finite Elements

International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.
ABSTRACT A Truncated Weighted Singular Value Decomposition (TWSVD) based approach is proposed for the Tikhonov regularized solution of the ill‐posed softening type nonlocal plasticity model. Tikhonov regularization provides a stable, smooth, and mesh‐independent solution of integral‐type nonlocal plasticity, but is computationally expensive for large ...
Albert Dahal, Luis Ibarra
wiley   +1 more source

Fredholm-Volterra integral equation of the first kind with potential kernel

Le Matematiche, 2000
A series method is used to separate the variables of position and time for the Fredholm-Volterra integral equation of the first kind and the solution of the system in L_2 [0,1] × C[0,T], 0 ≤ t ≤ T < ∞ is obtained, the Fredholm integral equation is ...
M. H. Fahmy, M. A. Abdou, E. I. Deebs
doaj  

The boundary value problem for an ordinary linear half-order differential equation

Қарағанды университетінің хабаршысы. Математика сериясы
This study is devoted to the study of the solution of a boundary value problem for an ordinary linear differential equation of half order with constant coefficients.
N. Aliyev, M. Rasulov, B. Sinsoysal
doaj   +1 more source

Physically Based Feature Augmentation to Improve Classification Algorithm Performance

Engineering Reports, Volume 7, Issue 10, October 2025.
Physical transformations of infrared remote sensing measurements are shown to improve classification performance. Physical transformations are more effective than those that are simply mathematical. Leveraging physical insight is broadly applicable to many types of problems and can lead to fewer measurements/simpler models for desired performance ...
Charles E. Davidson, Avishai Ben‐David, Alan C. Samuels   +2 more
wiley   +1 more source