Results 71 to 80 of about 426,153 (290)

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Enhancing Corrosion Resistance and Mechanical Strength of 3D‐Printed Iron Polylactic Acid for Marine Applications via Laser Surface Texturing

Advanced Engineering Materials, EarlyView.
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat, Mojtaba Karamimoghadam, Mohammadreza Lalegani Dezaki, Ali Zolfagharian, Giuseppe Casalino, Antonio Mateo, Mahdi Bodaghi   +6 more
wiley   +1 more source

A systematic method of finding linearizing transformations for nonlinear ordinary differential equations: I. Scalar case [PDF]

, 2012
In this set of papers we formulate a stand alone method to derive maximal number of linearizing transformations for nonlinear ordinary differential equations (ODEs) of any order including coupled ones from a knowledge of fewer number of integrals of ...
Chandrasekar, V. K., Lakshmanan, M., Senthilvelan, M.   +2 more
core   +1 more source

Poisson integrators

, 2004
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Hamiltonian ode's, pde's and lattice equations are presented. Numerical integrators using generating functions, Hamiltonian splitting, symplectic Runge-Kutta
Karasözen, B.
core   +1 more source

On Analytical Solution of Time-Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis

Journal of Function Spaces, 2022
This research utilizes the generalized integral transform and the Adomian decomposition method to derive a fascinating explicit pattern for outcomes of the biological population model (BPM).
Saima Rashid, Rehana Ashraf, Ebenezer Bonyah   +2 more
doaj   +1 more source

Critical behaviour of the dilute O(n), Izergin-Korepin and dilute $A_L$ face models: Bulk properties

, 1996
The analytic, nonlinear integral equation approach is used to calculate the finite-size corrections to the transfer matrix eigen-spectra of the critical dilute O(n) model on the square periodic lattice.
Affleck, Andrews, Batchelor, Batchelor, Batchelor, Baxter, Bazhanov, Belavin, Belavin, Blöte, Blöte, Cardy, Cardy, Dotsenko, Duplantier, Duplantier, Forrester, Friedan, Fujimoto, Izergin, Klümper, Klümper, Klümper, Klümper, Klümper, M.T. Batchelor, Nienhuis, Nienhuis, Nienhuis, Nienhuis, Nienhuis, Nienhuis, Nienhuis, O'Brien, Pearce, Reshetikhin, Reshetikhin, Roche, Saleur, Singh, Suzuki, Suzuki, Tarasov, Vichirko, Warnaar, Warnaar, Warnaar, Warnaar, Warnaar, Warnaar, Warnaar, Y.K. Zhou, Zhou, Zhou, Zhou, Zhou   +55 more
core   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

The nonlinear heat equation involving highly singular initial values and new blowup and life span results

, 2017
In this paper we prove local existence of solutions to the nonlinear heat equation $u_t = \Delta u +a |u|^\alpha u, \; t\in(0,T),\; x=(x_1,\,\cdots,\, x_N)\in {\mathbb R}^N,\; a = \pm 1,\; \alpha>0;$ with initial value $u(0)\in L^1_{\rm{loc}}\left ...
Tayachi, Slim, Weissler, Fred B.
core   +2 more sources

Henstock-Kurzweil-Pettis integral and weak topologies in nonlinear integral equations on time scales

, 2013
The goal of the present work is to give an existence result for a nonlinear integral equation on time scales by considering the Banach space endowed with its weak topology.
B. Satco, C. Turcu
semanticscholar   +1 more source

Composite Electrospun Fibers Containing Optimized B‐ and Cu‐Doped Bioactive Glass Sol‐Gel Particles for Potential Soft Tissue Engineering Applications

Advanced Engineering Materials, EarlyView.
This article describes the preparation and characterization of poly(ε‐caprolactone) electrospun composite fibers incorporating sol‐gel‐derived bioactive glass particles doped with B and Cu. Scanning electron microscopy, energy‐dispersive X‐ray spectroscopy, Fourier‐transform infrared spectroscopy, contact angle, acellular bioactivity, mechanical and ...
Elisa Piatti, Marta Miola, Liliana Liverani, Paolo Sartori, Enrica Verné, Aldo R. Boccaccini   +5 more
wiley   +1 more source