Computational Methods for Differential Equations

Keywords = Collocation method

Spectral Collocation Algorithm for the Fractional Bratu Equation via Hexic Shifted Chebyshev Polynomials

Articles in Press, Accepted Manuscript, Available Online from 30 September 2024

10.22034/cmde.2024.61045.2621

Ahmed Gamal Atta; Jomana Farag Soliman; Elaf Wael Elsaeed; Mostafa Wael Elsaeed; Youssri Hassan Youssri

The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether

Volume 12, Issue 4, October 2024, Pages 857-865

10.22034/cmde.2024.55413.2304

Fatemeh Zabihi

A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation

Volume 12, Issue 3, July 2024, Pages 544-560

10.22034/cmde.2024.58169.2454

Melike Karta

Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets

Volume 12, Issue 2, March 2024, Pages 374-391

10.22034/cmde.2023.56933.2382

Zahra Shafinejhad; Mohammad Zarebnia

Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations

Volume 11, Issue 3, June 2023, Pages 589-604

10.22034/cmde.2022.51962.2170

Sagithya Thirumalai; Rajeswari Seshadri; Suayip Yuzbasi

Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method

Volume 11, Issue 1, January 2023, Pages 81-94

10.22034/cmde.2022.49901.2077

Samira Bonyadi; Yaghoub Mahmoudi; Mehrdad Lakestani; Mohammad Jahangiri rad

A new application for numerical computations of the modified equal width equation (MEW) based on Lumped Galerkin method with the cubic B-spline

Volume 11, Issue 1, January 2023, Pages 95-107

10.22034/cmde.2022.51278.2133

Melike Karta

A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization

Volume 10, Issue 4, October 2022, Pages 1046-1058

10.22034/cmde.2021.47358.1981

Nuri Murat Yağmurlu; Ali Sercan Karakaş

Approximate price of the option under discretization by applying fractional quadratic interpolation

Volume 10, Issue 4, October 2022, Pages 1075-1085

10.22034/cmde.2021.45656.1918

Hamid Mesgarani; Adele Adl; Yones Esmaeelzade Aghdam

Studying the thermal analysis of rectangular cross section porous fin: A numerical approach

Volume 10, Issue 2, April 2022, Pages 338-350

10.22034/cmde.2021.37458.1669

Waleed Adel; Ahmet Yildirim

Shifted Jacobi collocation method for Volterra-Fredholm integral equation

Volume 10, Issue 2, April 2022, Pages 408-418

10.22034/cmde.2021.38146.1680

Amany Saad Mohamed

Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation

Volume 10, Issue 1, January 2022, Pages 28-43

10.22034/cmde.2020.39472.1726

Swarn Singh; Sandeep Bhatt; Suruchi Singh

Laguerre collocation method for solving Lane-Emden type equations

Volume 9, Issue 4, October 2021, Pages 1176-1197

10.22034/cmde.2020.35895.1621

Ali Zamiri; Abdollah Borhanifar; Amin Ghannadiasl

An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions

Volume 9, Issue 4, October 2021, Pages 1198-1213

10.22034/cmde.2020.40112.1749

Mohammad Zarebnia; Reza Parvaz

Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations

Volume 9, Issue 3, July 2021, Pages 858-873

10.22034/cmde.2020.38506.1695

Marzieh Pourbabaee; Abbas Saadatmandi

A Laguerre approach for solving of the systems of linear differential equations and residual improvement

Volume 9, Issue 2, April 2021, Pages 553-576

10.22034/cmde.2020.34871.1591

Suayip Yuzbasi; Gamze Yildirim

Solving the Fokker-Planck equation via the compact finite difference method

Volume 8, Issue 3, August 2020, Pages 493-504

10.22034/cmde.2020.28609.1396

Behnam Sepehrian; Marzieh Karimi Radpoor

Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation

Volume 8, Issue 2, April 2020, Pages 347-363

10.22034/cmde.2020.32252.1504

Mahboobeh Rahimi; Hojatollah Adibi

Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem

Volume 7, Issue 3, July 2019, Pages 434-453

Hamed Zeidabadi; Reza Pourgholi; Seyed Hashem Tabasi

Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems

Volume 7, Issue 2, April 2019, Pages 177-198

Siddu Channabasappa Shiralashetti; Kumbinarasaiah Srinivasa

Spectral solution of fractional fourth order partial integro-differential equations

Volume 7, Issue 2, April 2019, Pages 289-301

Hamed Bazgir; Bahman Ghazanfari

Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder

Volume 6, Issue 4, October 2018, Pages 483-500

Ahmad Golbabai; Sima Samadpour

An improved collocation method based on deviation of the error for solving BBMB equation

Volume 6, Issue 2, April 2018, Pages 238-247

Reza Parvaz; Mohammad Zarebnia

Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials

Volume 5, Issue 2, April 2017, Pages 88-102

Farshid Mirzaee

Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions

Volume 5, Issue 2, April 2017, Pages 117-140

Parisa Rahimkhani; Yadollah Ordokhani; Esmail Babolian

Computational Methods for Differential Equations

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