Modified homotopy perturbation method for integro-differential and hypersingular integral equations

QR Code

Modified homotopy perturbation method for integro-differential and hypersingular integral equations

Homotopy perturbation method (HPM) is implemented to solve the mathematical problems. The solution is obtained by taking the summation of infinite series. This thesis present a modification of HPM by equating the second series as zero. Convergence and error estimation of HPM and modified HPM (MHP...

Full description

Bibliographic Details
Main Author:	Zulkarnain, Fatimah Samihah
Format:	Thesis
Language:	English
Published:	2018
Subjects:	Mathematics Homotopy equivalences
Online Access:	http://psasir.upm.edu.my/id/eprint/83565/ http://psasir.upm.edu.my/id/eprint/83565/1/FS%202018%20100%20-%20ir.pdf

Similar Items

Error estimations of Homotopy perturbation method for linear integral and integro-differential equations of the third kind
by: Eshkuvatov, Zainidin K., 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)

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

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

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

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

Analytic treatment of differential equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)

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

An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2013)

An accurate analytic solution for differential and integral equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2013)

Analytic treatment of differential equations by modified homotopy perturbation method
by: Chowdhury, M.S.H., et al.
Published: (2012)

Homotopy-perturbation method for solving linear and nonlinear differential equation
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)

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

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

Application of Homotopy Analaysis Method for linear integro-differential equations
by: Abbas, Zulkifly, et al.
Published: (2010)

A reliable modification of the homotopy perturbation method for differential and integral equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)

Homotopy perturbation method for solving perturbation problems
by: Chowdhury, Md. Sazzad Hossien
Published: (2014)

The modified homotopy perturbation method and its application in solving nonlinear integral equations
by: Guo, Y., et al.
Published: (2010)

Application of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations
by: Atabakan, Zohreh Pashazadeh, et al.
Published: (2014)

Homotopy-perturbation method applied to system of ordinary differential equations (ODEs)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

An accurate solution to the Lotka-Volterra equations by modified homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2011)

An accurate solution to the Lotka-Volterra equations by modified Homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2012)

Homotopy-perturbation method for heat transfer equations
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)

Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Numerical solution of nonlinear fredholm integro-differential equations using spectral homotopy analysis method
by: Atabakan, Z. Pashazadeh, et al.
Published: (2013)

Solutions of Emden–Fowler equations by homotopy-perturbation methods
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2009)

Efficient schemes on solving fractional integro-differential equations
by: Loh, Jian Rong
Published: (2018)

Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation
by: Domairry, G., et al.
Published: (2008)

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

Solution of classical Lane-Emden equation by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien
Published: (2007)

The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2015)

Solutions of higher order boundary value problems by homotopy perturbation method
by: Razali, NurIsnida, et al.
Published: (2014)

Analytical solution for cauchy reaction-diffusion problems by homotopy perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2010)

Constructions with non-recursive higher inductive types
by: Kraus, Nicolai
Published: (2016)

The multistage homotopy perturbation method for solving hyperchaotic Chen system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2018)

Application of homotopy-perturbation method to nonlinear population dynamics models
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)

Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods
by: Norhasimah Mahiddin,, et al.
Published: (2014)

A new application of multistage homotopy perturbation method to the chaotic Rössler system
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2012)

Analytical solutions to heat transfer equations by homotopy-perturbation method revisited
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2008)