Results 31 to 40 of about 87,914,593 (210)
Rational solitons of wave resonant-interaction models [PDF]
, 2013 Integrable models of resonant interaction of two or more waves in 1+1 dimensions are known to be of applicative interest in several areas. Here we consider a system of three coupled wave equations which includes as special cases the vector nonlinear ...
Degasperis, Antonio +2 more
core +1 more source
Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs
Ain Shams Engineering Journal, 2015 This article contributes a numerical scheme for finding approximate solutions of one-dimensional parabolic partial differential equations (PDEs) under non-classical boundary conditions. This scheme is based on the direct Chebyshev collocation method that
Emran Tohidi
doaj +1 more source
A Novel Numerical Technique for Fractional Ordinary Differential Equations with Proportional Delay
Journal of Function Spaces, 2022 Some researchers have combined two powerful techniques to establish a new method for solving fractional-order differential equations. In this study, we used a new combined technique, known as the Elzaki residual power series method (ERPSM), to offer ...
Muhammad Imran Liaqat +3 more
doaj +1 more source
Mathematics, 2021 The study of hybrid nanofluid and its thermophysical properties is emerging since the early of 2000s and the purpose of this paper is to investigate the flow of hybrid nanofluid over a permeable Darcy porous medium with slip, radiation and shrinking ...
Shahirah Abu Bakar +3 more
doaj +1 more source
Continuum Robots in Surgery: From Engineering Design to Clinical Practice
Advanced Robotics Research, EarlyView.The hyper‐redundant nature of continuum robot structures enables near‐infinite degrees of freedom leading to immense potential for medical applications. This review provides a historical background of continuum robots and novel ideas shaping their progress to current structural design, sensing technology, modeling techniques, and control methods.
Griffin Smith +6 more
wiley +1 more source
An ALE ESFEM for solving PDEs on evolving surfaces [PDF]
, 2012 Numerical methods for approximating the solution of partial differential equations on evolving hypersurfaces using surface finite elements on evolving triangulated surfaces are presented.
Vanessa Styles (4460662) +3 more
core +1 more source
Complex Exponential Method for Solving Partial Differential Equations
Engineering TransactionsFor constant-coefficient linear partial differential equations solvable by separation of variables, an alternative solution method is proposed. The method employs complex exponential functions to find exact analytical solutions.
Mehmet PAKDEMIRLI
doaj +1 more source
Journal of Mathematics, 2022 For the first time, we establish a new procedure by using the conformable Shehu transform (CST) and an iteration method for solving fractional-order Cauchy reaction-diffusion equations (CRDEs) in the sense of conformable derivative (CD).
Shahram Rezapour +2 more
doaj +1 more source
Closing the Loop: High‐Precision 3D Photofabrication in Living Tissues
Advanced Science, EarlyView.Writing 3D microstructures inside living tissue demands more than laser access; It demands information. Hierarchical sensing captures thermal and mechanical states across pulse‐train, voxel, and structure timescales, feeding a controller that steers the laser in real time.
Amirbahador Zeynali +2 more
wiley +1 more source
Exact and approximate solutions of the fractional dynamical system via transform techniques
Kuwait Journal of ScienceThis study investigates the Jaulent–Miodek system of partial differential equations (PDEs) using two powerful analytical techniques: the iteration transform method (ITM) and the residual power series transform method (RPSTM).
Maalee Almheidat +4 more
doaj +1 more source