Error estimations of Homotopy perturbation method for linear integral and integro-differential equations of the third kind

QR Code

Error estimations of Homotopy perturbation method for linear integral and integro-differential equations of the third kind

In this note, convex Homotopy perturbation method (HPM) is presented for the approximate solution of the linear Fredholm-Volterra integral and integro-differential equation. Convergence and rate of convergence of the HPM are proved for both equations. Five numerical examples are provided to verify t...

Full description

Bibliographic Details
Main Authors:	Eshkuvatov, Zainidin K., Zulkarnain, F. S., Nik Long, Nik Mohd Asri, Muminov, Zahriddin
Format:	Article
Language:	English
Published:	2016
Subjects:	Approximate method; Homotopy perturbation method; Convergence; Error estimate
Online Access:	http://psasir.upm.edu.my/id/eprint/54184/ http://psasir.upm.edu.my/id/eprint/54184/1/Error%20estimations%20of%20Homotopy%20perturbation%20method%20for%20linear%20integral%20.pdf

Similar Items

Modified homotopy perturbation method for integro-differential and hypersingular integral equations
by: Zulkarnain, Fatimah Samihah
Published: (2018)

Homotopy perturbation method for the hypersingular integral equations of the first kind
by: K.Eshkuvatov, Zainidin, et al.
Published: (2018)

Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)

Proportional step perturbation method MPPT for boost circuit of TEG
by: Ji, Feng, et al.
Published: (2020)

Modified homotopy perturbation method for solving hypersingular integral equations of the second kind
by: Zulkarnain, F. S., et al.
Published: (2016)

Spectral homotopy analysis method and composite Chebyshev finite difference method for solving integro-differential equations
by: Atabakan, Zohreh Pashazadeh
Published: (2015)

Extending homotopy type theory with strict equality
by: Altenkirch, Thorsten, et al.
Published: (2016)

Truncation levels in homotopy type theory
by: Kraus, Nicolai
Published: (2015)

Homotopy Analysis And Legendre Multi-Wavelets Methods For Solving Integral Equations
by: Vahdati, Saeed
Published: (2009)

The covariance of multi-field perturbations, pseudo-susy and fNL
by: Saffin, Paul M.
Published: (2012)

Adiabatic and isocurvature perturbation projections in multi-field inflation
by: Gordon, Chris, et al.
Published: (2013)

Electron scattering from atomic gallium
by: Fursa, Dmitry, et al.
Published: (2009)

Spin-resolved electron-impact ionisation of atoms
by: Bray, Igor, et al.
Published: (2010)

Electron-impact ionisation of atoms and ions
by: Bray, Igor, et al.
Published: (2009)

Three-dimensional cross sections for electron impact ionization of atoms and molecules
by: Ren, X., et al.
Published: (2010)

Inclusion of the Breit interaction in the relativistic convergent close-coupling method
by: Bostock, Christopher, et al.
Published: (2009)

Convergence study of the close-coupling approach to positron-helium collisions
by: Utamuratov, R., et al.
Published: (2010)

Compensated convexity methods for approximations and interpolations of sampled functions in Euclidean spaces: theoretical foundations
by: Zhang, Kewei, et al.
Published: (2016)

hp-adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains
by: Giani, Stefano, et al.
Published: (2014)

Chemical recycling of polyethylene terephthalate waste into BHET monomer using convection-conductive and microwave assisted glycolysis techniques
by: Mhd. Adnan, Amir Syariffuddeen
Published: (2012)

Performance analysis of adaptive arrays with projected perturbation sequences
by: Ivandich, Steven A.
Published: (1999)

Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows
by: Giani, Stefano, et al.
Published: (2014)

The Analytical Solution for the Black-Scholes Equation with Two Assets in the Liouville-Caputo Fractional Derivative Sense
by: Sawangtong, Panumart, et al.
Published: (2018)

Applications of perturbation theory to power electronic converters
by: Laterza, Marta
Published: (2022)

Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation
by: Hartmann, Ralf, et al.
Published: (2005)

Linear homotopy solution of nonlinear systems of equations in geodesy
by: Palancz, B., et al.
Published: (2010)

Two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows
by: Congreve, Scott, et al.
Published: (2014)

Relativistic Convergent Close-Coupling method for excitation and ionization processes in electron collisions with atoms and ions
by: Fursa, Dmitri, et al.
Published: (2009)

Multiscale method for Oseen problem in porous media with non-periodic grain patterns
by: Muljadi, Bagus Putra
Published: (2017)

Partial Newton methods for a system of equations
by: Goh, Bean, et al.
Published: (2013)

Design Error Costs in Construction Projects
by: Lopez, Robert, et al.
Published: (2012)

Stress intensity factor for the interaction between a straight crack and a curved crack in plane elasticity
by: Aridi, M. R., et al.
Published: (2016)

An abstract analysis of optimal goal-oriented adaptivity
by: Feischl, Michael, et al.
Published: (2016)

On the suboptimality of the p-version interior penalty discontinuous Galerkin method
by: Georgoulis, Emmanuil H., et al.
Published: (2009)

Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows
by: Cliffe, Andrew, et al.
Published: (2008)

hp-Adaptive discontinuous Galerkin methods for neutron transport criticality problems
by: Hall, Edward, et al.
Published: (2017)

Homotopy colimits and global observables in Abelian gauge theory
by: Benini, Marco, et al.
Published: (2015)

Efficient algorithms for computing the largest eigenvalue of a nonnegative tensor
by: Zhou, Guanglu, et al.
Published: (2013)

Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor
by: Zhou, Guanglu, et al.
Published: (2013)

Modified algorithms in interval symmetric single-step procedure for simultaneous inclusion of polynomial zeros
by: Wan Mohd Sham, Atiyah
Published: (2014)