Results 51 to 60 of about 16,775 (210)

‎Multistep collocation method for nonlinear delay integral equations [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
‎The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method.
Parviz Darania
doaj  

Computational methods and dynamical analysis for studying ( 1 + 1 ) $(1 + 1)$ dimensional functional equations of mixed integro-differential type

open access: yesBoundary Value Problems
In the present paper, the Fibonacci collocation method is implemented to solve ( 1 + 1 ) $(1 + 1)$ dimensional difference equations of mixed integro-differential type.
Amr M. S. Mahdy   +2 more
doaj   +1 more source

An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations

open access: yesJournal of Applied Mathematics, 2014
The block hybrid collocation method with two off-step points is proposed for the direct solution of general third order ordinary differential equations.
Lee Ken Yap   +2 more
doaj   +1 more source

A New Efficient Method for the Numerical Solution of Linear Time-Dependent Partial Differential Equations

open access: yesAxioms, 2018
This paper presents a new efficient method for the numerical solution of a linear time-dependent partial differential equation. The proposed technique includes the collocation method with Legendre wavelets for spatial discretization and the three-step ...
Mina Torabi, Mohammad-Mehdi Hosseini
doaj   +1 more source

A Collocation Numerical Method for Highly Oscillatory Algebraic Singular Volterra Integral Equations

open access: yesFractal and Fractional
The highly oscillatory algebraic singular Volterra integral equations cannot be solved directly. A collocation numerical method is proposed to overcome the difficulty created by the highly oscillatory algebraic singular kernel.
SAIRA, Wen-Xiu Ma, Guidong Liu
doaj   +1 more source

A collocation spectral method for two-dimensional Sobolev equations

open access: yesBoundary Value Problems, 2018
This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations is first established. And then, the existence,
Shiju Jin, Zhendong Luo
doaj   +1 more source

An Overview of Meshfree Collocation Methods

open access: yesCoRR
We provide a comprehensive overview of meshfree collocation methods for numerically approximating differential operators on continuously labeled unstructured point clouds. Meshfree collocation methods do not require a computational grid or mesh. Instead, they approximate smooth functions and their derivatives at potentially irregularly distributed ...
Tomás Halada   +5 more
openaire   +2 more sources

A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities

open access: yes, 2017
We develop spectral collocation methods for fractional differential equations with variable order with two end-point singularities. Specifically, we derive three-term recurrence relations for both integrals and derivatives of the weighted Jacobi ...
George Em Karniadakis   +5 more
core   +1 more source

Modeling sound propagation in acoustic waveguides using a hybrid numerical method [PDF]

open access: yes, 2008
Sound propagation in an acoustic waveguide is examined using a hybrid numerical technique. Here, the waveguide is assumed to be infinite in length with an arbitrary but uniform cross-section.
Kirby, R, Ray Kirby
core   +1 more source

Haar wavelet collocation method for solving stagnation point over a nonlinearly stretching/shrinking sheet in a hybrid nanofluid with slip effect

open access: yes, 2023
The study of stagnation point flow and heat transfer over a stretching/shrinking sheet in a hybrid nanofluid has potential applications in a variety of fields.
Hasanah, N. S.   +4 more
core   +1 more source

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