Matrix form of Legendre polynomials for solving linear integro-differential equations of high order
This paper presents an effective approximate solution of high order of Fredholm-Volterra integro-differential equations (FVIDEs) with boundary condition. Legendre truncated series is used as a basis functions to estimate the unknown function. Matrix operation of Legendre polynomials is used to trans...
| Main Authors: | Kammuji, M., Eshkuvatov, Zainidin K., Mohd Yunus, Arif Asraf |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57632/ http://psasir.upm.edu.my/id/eprint/57632/1/Matrix%20form%20of%20Legendre%20polynomials%20for%20solving%20linear%20integro-differential%20equations%20of%20high%20order.pdf |
Similar Items
Effective quadrature formula in solving linear integro-differential equations of order two
by: Eshkuvatov, Zainidin K., et al.
Published: (2016)
by: Eshkuvatov, Zainidin K., et al.
Published: (2016)
Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
by: Abbas, Zulkifly, et al.
Published: (2009)
by: Abbas, Zulkifly, et al.
Published: (2009)
Solving fractional Fredholm integro-differential
equations by Laguerre polynomials
by: Daşcioğlu, Ayşegül, et al.
Published: (2019)
by: Daşcioğlu, Ayşegül, et al.
Published: (2019)
ADM for solving linear second-order fredholm integro- differential equation
by: Karim, Mohd F., et al.
Published: (2018)
by: Karim, Mohd F., et al.
Published: (2018)
ADM for solving linear second-order fredholm integro- differential equation
by: Karim, Mohd F., et al.
Published: (2018)
by: Karim, Mohd F., et al.
Published: (2018)
Solving matrix differential and integro-differential equations using differential transformation method and convolutions
by: Altun, Omer
Published: (2016)
by: Altun, Omer
Published: (2016)
Quarter-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)
by: Aruchunan, Elayaraja, et al.
Published: (2011)
Half-Sweep Conjugate Gradient method for solving first order linear Fredholm integro-differential equations
by: Aruchunan, Elayaraja, et al.
Published: (2010)
by: Aruchunan, Elayaraja, et al.
Published: (2010)
Half-sweep Conjugate Gradient Method for Solving First Order Linear Fredholm Integro-differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)
by: Aruchunan, Elayaraja, et al.
Published: (2011)
An Iterative Solution for Second Order Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2014)
by: Aruchunan, Elayaraja, et al.
Published: (2014)
An iterative solution for second order linear Fredholm integro-differential equations
by: Aruchunan, Elayaraja, et al.
Published: (2014)
by: Aruchunan, Elayaraja, et al.
Published: (2014)
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)
by: Eshkuvatov, Zainidin K., et al.
Published: (2016)
Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)
Application of the Half-Sweep Gauss-Seidel Method For Solving First Order Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2011)
by: Aruchunan, Elayaraja, et al.
Published: (2011)
New operational matrix of derivative for solving non-linear fractional differential equations via Genocchi polynomials
by: Isah, Abdulnasir, et al.
Published: (2019)
by: Isah, Abdulnasir, et al.
Published: (2019)
Using hybrid of block-pulse functions and bernoulli polynomials to solve fractional fredholm-volterra integro-differential equations
by: Saadatmandi, Abbas, et al.
Published: (2020)
by: Saadatmandi, Abbas, et al.
Published: (2020)
Repeated Simpson's 1/3 and Backward Difference Schemes to Solve First Order Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2010)
by: Aruchunan, Elayaraja, et al.
Published: (2010)
Efficient schemes on solving fractional integro-differential equations
by: Loh, Jian Rong
Published: (2018)
by: Loh, Jian Rong
Published: (2018)
Application of quarter-sweep iteration for first order linear Fredholm integro-differential equations
by: Aruchunan, Elayaraja, et al.
Published: (2013)
by: Aruchunan, Elayaraja, et al.
Published: (2013)
Application of the Central-Difference with Half-Sweep Gauss-Seidel Method for Solving First Order Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2012)
by: Aruchunan, Elayaraja, et al.
Published: (2012)
A New Algorithm of Geometric Mean for Solving High-Order Fredholm Integro-differential Equations
by: Aruchunan, E., et al.
Published: (2016)
by: Aruchunan, E., et al.
Published: (2016)
Fifth order multistep block method for solving volterra
integro-differential equations of second kind
by: Zanariah Abdul Majid,, et al.
Published: (2019)
by: Zanariah Abdul Majid,, et al.
Published: (2019)
Fifth order multistep block method for solving Volterra integro-differential equations of second kind
by: Abdul Majid, Zanariah, et al.
Published: (2019)
by: Abdul Majid, Zanariah, et al.
Published: (2019)
Multistep block method for solving Volterra integro-differential equations
by: Mohamed, Nurul Atikah, et al.
Published: (2016)
by: Mohamed, Nurul Atikah, et al.
Published: (2016)
Application of Homotopy Analaysis Method for linear integro-differential equations
by: Abbas, Zulkifly, et al.
Published: (2010)
by: Abbas, Zulkifly, et al.
Published: (2010)
Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)
by: A. Elbeleze, Asma, et al.
Published: (2016)
Numerical Solution of First-Order Linear Fredholm Integro-Differential Equations using Conjugate Gradient Method
by: Aruchunan, Elayaraja, et al.
Published: (2009)
by: Aruchunan, Elayaraja, et al.
Published: (2009)
Direct solution of third-order linear integro-differential equation using Cubic B-Spline Method
by: Hamida Ali,, et al.
Published: (2025)
by: Hamida Ali,, et al.
Published: (2025)
A novel collocation method based on residual error analysis for solving integro-differential equations using hybrid Dickson and Taylor polynomials
by: Kürkçü, Ömür Kivanç, et al.
Published: (2017)
by: Kürkçü, Ömür Kivanç, et al.
Published: (2017)
Numerical solution of nonlinear fredholm integro-differential equations using spectral homotopy analysis method
by: Atabakan, Z. Pashazadeh, et al.
Published: (2013)
by: Atabakan, Z. Pashazadeh, et al.
Published: (2013)
Nonlinear the first kind Fredholm integro-differential first-order equation with degenerate kernel and nonlinear maxima
by: Yuldashev, T. K., et al.
Published: (2022)
by: Yuldashev, T. K., et al.
Published: (2022)
Application of the quadrature-difference method for solving Fredholm integro-differential equations
by: Jalius, Chriscella, et al.
Published: (2015)
by: Jalius, Chriscella, et al.
Published: (2015)
One-step block method for solving Volterra integro-differential equations
by: Mohamed, Nurul Atikah, et al.
Published: (2014)
by: Mohamed, Nurul Atikah, et al.
Published: (2014)
Fuzzy Volterra integro-differential equations using general linear method
by: Abdul Majid, Zanariah, et al.
Published: (2019)
by: Abdul Majid, Zanariah, et al.
Published: (2019)
Numerical solution of fredholm fractional integro-differential equation with right-sided caputo’s derivative using bernoulli polynomials operational matrix of fractional derivative
by: Loh, Jian Rong, et al.
Published: (2019)
by: Loh, Jian Rong, et al.
Published: (2019)
Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual Method
by: Aruchunan, Elayaraja, et al.
Published: (2010)
by: Aruchunan, Elayaraja, et al.
Published: (2010)
Numerical Solution of First-Order Linear Fredholm Integro-Differential Equation Generalized Minimal Residual (GMRES) Method
by: Aruchunan, Elayaraja, et al.
Published: (2009)
by: Aruchunan, Elayaraja, et al.
Published: (2009)
Numerical Solution for Arbitrary Domain of Fractional
Integro-differential Equation via the General Shifted
Genocchi Polynomials
by: Jian Rong Loh, Jian Rong Loh, et al.
Published: (2023)
by: Jian Rong Loh, Jian Rong Loh, et al.
Published: (2023)
Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations
by: Atabakan, Zohreh Pashazadeh, et al.
Published: (2014)
by: Atabakan, Zohreh Pashazadeh, et al.
Published: (2014)
Multistep block methods for solving volterra integro-differential equations of second kind
by: Mohamed, Nurul Atikah
Published: (2016)
by: Mohamed, Nurul Atikah
Published: (2016)
Similar Items
-
Effective quadrature formula in solving linear integro-differential equations of order two
by: Eshkuvatov, Zainidin K., et al.
Published: (2016) -
Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
by: Abbas, Zulkifly, et al.
Published: (2009) -
Solving fractional Fredholm integro-differential
equations by Laguerre polynomials
by: Daşcioğlu, Ayşegül, et al.
Published: (2019) -
ADM for solving linear second-order fredholm integro- differential equation
by: Karim, Mohd F., et al.
Published: (2018) -
ADM for solving linear second-order fredholm integro- differential equation
by: Karim, Mohd F., et al.
Published: (2018)