An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition

An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition

We apply the reproducing kernel Hilbert space (RKHS) method for getting analytical and approximate solutions for second-order hyperbolic integrodifferential equations with a weighted integral condition. The analytical solution is represented in the form of series; thus, the n-terms approximate solut...

Full description

Saved in:

Bibliographic Details
Main Authors:	A. Guezane-Lakoud, N. Bendjazia, R. Khaldi
Format:	Article
Language:	English
Published:	Wiley 2015-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/2015/758410
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
by: Xiaoli Qiang, et al.
Published: (2020-01-01)

Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method
by: R. Mastani Shabestari, et al.
Published: (2018-01-01)

Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method
by: K. Issa, et al.
Published: (2017-01-01)

Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations
by: Hassan Eltayeb, et al.
Published: (2014-01-01)

Semilinear Volterra integrodifferential equations with nonlocal initial conditions
by: Mark Mckibben, et al.
Published: (1999-01-01)

Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form
by: Ayşegül Akyüz-Daşcıoğlu, et al.
Published: (2014-01-01)

An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations
by: F. A. Hendi, et al.
Published: (2017-01-01)

Approximation Technique for Solving Linear Volterra Integro-Differential Equations with Boundary Conditions
by: Mohamed E. A. Alnair, et al.
Published: (2022-01-01)

Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
by: Assia Guezane-Lakoud, et al.
Published: (2012-01-01)

Existence and Uniqueness Theorem of Fractional Mixed Volterra-Fredholm Integrodifferential Equation with Integral Boundary Conditions
by: Shayma Adil Murad, et al.
Published: (2011-01-01)

Computational Methods for Solving Linear Fuzzy Volterra Integral Equation
by: Jihan Hamaydi, et al.
Published: (2017-01-01)

Polynomial spline collocation methods for second-order Volterra integrodifferential equations
by: Edris Rawashdeh, et al.
Published: (2004-01-01)

Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
by: Assia Guezane-Lakoud, et al.
Published: (2011-01-01)

Approximation approach for backward stochastic Volterra integral equations
by: Kutorzi Edwin Yao, et al.
Published: (2024-11-01)

Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay
by: Chunmei Zhang, et al.
Published: (2013-01-01)

Positive Solution to a Fractional Boundary Value Problem
by: A. Guezane-Lakoud, et al.
Published: (2011-01-01)

Erratum to “Positive Solution to a Fractional Boundary Value Problem”
by: A. Guezane-Lakoud, et al.
Published: (2013-01-01)

On a modified Bernstein operators approximation method for computational solution of Volterra integral equation
by: Khursheed J. Ansari, et al.
Published: (2025-01-01)

Existence of Solution via Integral Inequality of Volterra-Fredholm Neutral Functional Integrodifferential Equations with Infinite Delay
by: Kishor D. Kucche, et al.
Published: (2014-01-01)

Triangular Function Method is Adopted to Solve Nonlinear Stochastic It o^–Volterra Integral Equations
by: Guo Jiang, et al.
Published: (2024-01-01)

Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation
by: Bothayna S. H. Kashkari, et al.
Published: (2018-01-01)

A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations
by: Xiaomin Wang
Published: (2014-01-01)

Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation: Revisit Volterra's Population Model
by: Najeeb Alam Khan, et al.
Published: (2012-01-01)

Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities
by: Mokhtar Kirane, et al.
Published: (2011-01-01)

Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations
by: Vasile Marinca, et al.
Published: (2012-01-01)

Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions
by: L. E. Garey, et al.
Published: (1998-01-01)

Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives
by: Takieddine Zeghida, et al.
Published: (2024-07-01)

Corrigendum to “Convergence Analysis of Legendre Pseudospectral Scheme for Solving Nonlinear Systems of Volterra Integral Equations”
by: Emran Tohidi, et al.
Published: (2015-01-01)

A New Approach for Solving Nonlinear 3D-Volterra Fuzzy Integral Equations
by: Hamid Mottaghi Golshan, et al.
Published: (2024-10-01)

Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type
by: Iryna Komashynska, et al.
Published: (2014-01-01)

A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems
by: Mohammad Hossein Daliri Birjandi, et al.
Published: (2018-01-01)

Periodic solutions of Volterra integral equations
by: M. N. Islam
Published: (1988-01-01)

Asymptotic Behavior of Solutions to a Linear Volterra Integrodifferential System
by: Yue-Wen Cheng, et al.
Published: (2013-01-01)

A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations
by: H. Mehravaran, et al.
Published: (2018-01-01)

On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation
by: H. S. Mamba, et al.
Published: (2014-01-01)

Sawi Decomposition Method for Volterra Integral Equation with Application
by: M. Higazy, et al.
Published: (2020-01-01)

Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule
by: Avit Asanov, et al.
Published: (2016-01-01)

Modified Homotopy Perturbation Method and Approximate Solutions to a Class of Local Fractional Integrodifferential Equations
by: Bo Xu, et al.
Published: (2022-01-01)

Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method
by: Ayed Al e’damat
Published: (2020-01-01)

A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem
by: M. A. El-Ameen, et al.
Published: (2012-01-01)