Results 61 to 70 of about 28,522,762 (408)
A large variety of new methods are being developed for fast and efficient solutions of nonlinear boundary value problems. Some of these methods are, Adomian decomposition (ADM), differential transform (DTM), least squares vector machines (LSSVMM), and ...
Hasan Ömür Özer+3 more
doaj +1 more source
Convergence analysis of oversampled collocation boundary element methods in 2D [PDF]
Collocation boundary element methods for integral equations are easier to implement than Galerkin methods because the elements of the discretization matrix are given by lower-dimensional integrals. For that same reason, the matrix assembly also requires fewer computations.
arxiv
Solving Modified Regularized Long Wave Equation Using Collocation Method
In this paper, we suggest collocation method depending on Cubic trigonometric B-spline (CuTBS) approach based on finite difference scheme to solve the modified regularized long wave equation. The single solitary wave motion was studied using the proposed
H. Salih+3 more
semanticscholar +1 more source
In this paper, a new approach for the accurate numerical solution of the Benjamin–Bona–Mahony (BBM) equations with the initial and boundary conditions using Laguerre wavelets is presented. This method is based on the truncated Laguerre wavelet expansions
S. Shiralashetti, S. Kumbinarasaiah
semanticscholar +1 more source
On $hp$-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme
The first purpose of this paper is to provide a rigorous proof for the nonconvergence of $h$-refinement in $hp$-approximation by the PSWFs, a surprising convergence property that was first observed by Boyd et al [J. Sci. Comput., 2013].
Wang, Li-Lian+2 more
core +1 more source
An improved multiquadric collocation method for 3-D electromagnetic problems [PDF]
The multiquadric radial basis function method (MQ RBF or, simply, MQ) developed recently is a truly meshless collocation method with global basis functions.
Guo, Y+5 more
core +1 more source
Cardiac Organoid Model Inspired Micro‐Robot Smart Patch to Treat Myocardial Infarction
The heart organoid model exhibits the acidic microenvironment characteristic of myocardial infarction, which emerges as a pivotal force propelling the movement of micro‐robots. These micro‐robots, administered through microneedles, can penetrate deep into the tissue, effectively delivering therapeutic payloads to facilitate heart repair.
Fangfang Wang+12 more
wiley +1 more source
A numerical method for solving systems of higher order linear functional differential equations
Functional differential equations have importance in many areas of science such as mathematical physics. These systems are difficult to solve analytically.In this paper we consider the systems of linear functional differential equations [1-9] including ...
Yüzbasi Suayip+2 more
doaj +1 more source
Fourth-order B-spline collocation method has been applied for numerical study of Fisher’s equation which represents several important phenomena such as biological invasions, reaction diffusion in chemical processes and neutron multiplication in nuclear ...
Rajni Rohila, R. Mittal
semanticscholar +1 more source
Convergence Rate for a Gauss Collocation Method Applied to Constrained Optimal Control [PDF]
A local convergence rate is established for a Gauss orthogonal collocation method applied to optimal control problems with control constraints. If the Hamiltonian possesses a strong convexity property, then the theory yields convergence for problems ...
W. Hager+4 more
semanticscholar +1 more source