Effective quadrature formula in solving linear integro-differential equations of order two
In this note, we solve general form of Fredholm-Volterra integro-differential equations (IDEs) of order 2 with boundary condition approximately and show that proposed method is effective and reliable. Initially, IDEs is reduced into integral equation of the third kind by using standard integration t...
| Main Authors: | Eshkuvatov, Zainidin K., Kammuji, M., Nik Long, Nik Mohd Asri, Mohd Yunus, Arif Asraf |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57402/ http://psasir.upm.edu.my/id/eprint/57402/1/Effective%20quadrature%20formula%20in%20solving%20linear%20integro-differential%20equations%20of%20order%20two.pdf |
Similar Items
Matrix form of Legendre polynomials for solving linear integro-differential equations of high order
by: Kammuji, M., et al.
Published: (2016)
by: Kammuji, M., et al.
Published: (2016)
A quadrature formula for the approximation of Cauchy type singular integrals on the interval
by: Eshkuvatov, Zainidin K., et al.
Published: (2007)
by: Eshkuvatov, Zainidin K., et al.
Published: (2007)
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)
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)
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)
Quadrature formulafor the complete solution of characteristic singular integral equation on the interval
by: Eshkuvatov, Zainidin K., et al.
Published: (2009)
by: Eshkuvatov, Zainidin K., et al.
Published: (2009)
Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
by: Bichi, Sirajo Lawan, et al.
Published: (2014)
by: Bichi, Sirajo Lawan, et al.
Published: (2014)
Legendre Multi-Wavelets Direct Method for Linear Integro-Differential Equations
by: Abbas, Zulkifly, et al.
Published: (2009)
by: Abbas, Zulkifly, et al.
Published: (2009)
Numerical solutions of linear fredholm integro-differential equations of the second kind using quadrature-difference methods
by: Jalius, Chriscella
Published: (2016)
by: Jalius, Chriscella
Published: (2016)
Comparison of Closed Repeated Newton-Cotes Quadrature Schemes with Half-Sweep Iteration Concept in Solving Linear Fredholm Integro-Differential Equations
by: Aruchunan, Elayaraja, et al.
Published: (2012)
by: Aruchunan, Elayaraja, et al.
Published: (2012)
On error estimation of automatic quadrature scheme for the evaluation of Hadamard integral of second order singularity.
by: Obaiys, Suzan J., et al.
Published: (2013)
by: Obaiys, Suzan J., et al.
Published: (2013)
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)
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)
Quadrature formula for approximating the singular integral of Cauchy type with unbounded weight function on the edges.
by: Eshkuratov, Zainidin K., et al.
Published: (2009)
by: Eshkuratov, Zainidin K., et al.
Published: (2009)
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)
Numerical solution of Volterra Integro-Differential Equations by hybrid block with quadrature rules method
by: Janodi, Mohd Razaie, et al.
Published: (2020)
by: Janodi, Mohd Razaie, et al.
Published: (2020)
Diagonally implicit block backward differentiation formula for solving linear second order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2014)
by: Zainuddin, Nooraini, et al.
Published: (2014)
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)
A Chebyshev polynomial based quadrature for hypersingular integrals
by: Obaiys, Suzan J., et al.
Published: (2011)
by: Obaiys, Suzan J., et al.
Published: (2011)
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)
Quarter-sweep iteration concept on conjugate gradient normal residual method via second order quadrature - finite difference schemes for solving fredholm integro-differential equations
by: Elayaraja Aruchunan,, et al.
Published: (2015)
by: Elayaraja Aruchunan,, et al.
Published: (2015)
Block backward differentiation formulas for solving second order fuzzy differential equations
by: Tiaw, Kah Fook, et al.
Published: (2017)
by: Tiaw, Kah Fook, et al.
Published: (2017)
Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)
by: Mohd Nasir, Nor Ain Azeany
Published: (2011)
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)
Block backward differentiation formulas with automatic order selection for solving ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2014)
by: Ibrahim, Zarina Bibi, et al.
Published: (2014)
Block backward differentiation formulas for solving first and second order fuzzy differential equations
by: Tiaw, Kah Fook
Published: (2016)
by: Tiaw, Kah Fook
Published: (2016)
Direct fifth order block backward differentiation formulas for solving second order ordinary differential equations
by: Zainuddin, Nooraini, et al.
Published: (2016)
by: Zainuddin, Nooraini, et al.
Published: (2016)
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)
Theoretical and numerical studies of fractional Volterra-Fredholm integro-differential equations in Banach space
by: AlSa'di, Kawthar, et al.
Published: (2024)
by: AlSa'di, Kawthar, et al.
Published: (2024)
An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals
by: Bichi, Sirajo Lawan, et al.
Published: (2014)
by: Bichi, Sirajo Lawan, et al.
Published: (2014)
Solving fractional Fredholm integro-differential
equations by Laguerre polynomials
by: Daşcioğlu, Ayşegül, et al.
Published: (2019)
by: Daşcioğlu, Ayşegül, et al.
Published: (2019)
Similar Items
-
Matrix form of Legendre polynomials for solving linear integro-differential equations of high order
by: Kammuji, M., et al.
Published: (2016) -
A quadrature formula for the approximation of Cauchy type singular integrals on the interval
by: Eshkuvatov, Zainidin K., et al.
Published: (2007) -
Application of the quadrature-difference method for solving Fredholm integro-differential equations
by: Jalius, Chriscella, et al.
Published: (2015) -
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) -
Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)