Iranian Journal of Numerical Analysis and Optimization

Keywords = Error analysis

Number of Articles: 14

A fully discrete spectral method for coupled parabolic systems with nonlocal terms

Articles in Press, Accepted Manuscript, Available Online from 14 September 2026

10.22067/ijnao.2026.98401.1864

M. Hatami, Davoud Rostami

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Second-kind Chebyshev spectral Petrov-Galerkin scheme for solving the time-fractional Euler-Bernoulli beam equation

Volume 16, Issue 4, December 2026, Pages 1221-1238

10.22067/ijnao.2026.97767.1839

Youssri Hassan Youssri, Maha Muftah Muttardi

A collocation framework for numerical reconstruction of the source function in a two-term fractional diffusion problem

Volume 16, Issue 4, December 2026, Pages 1518-1549

10.22067/ijnao.2026.97820.1844

Sahar Jalalian, Afshin Babaei, Morteza Gachpazan

Comparative semi-analytical solutions of Caputo time-fractional Fokker–Planck equations via Laplace transform–based decomposition and iterative methods

Volume 16, Issue 3, September 2026, Pages 815-851

10.22067/ijnao.2026.95409.1728

Monowar Hossain, Mohammed Aman Ullah

Barycentric rational interpolation method for fractional-order differential equation model of HIV infection of CD4$^+$T-cells

Volume 16, Issue 3, September 2026, Pages 1009-1030

10.22067/ijnao.2026.93855.1660

Khatoon Divsar, Roghayeh katani

Convergence analysis of triangular and symmetric splitting method for fuzzy stochastic linear systems

Volume 15, Issue 3, September 2025, Pages 930-951

10.22067/ijnao.2025.91136.1561

B. Harika, D. Rajaiah, A. Shivaji, L.P. Rajkumar

Combining the reproducing kernel method with Taylor series expansion to solve systems of nonlinear fractional Volterra integro-differential equations

Volume 15, Issue 3, September 2025, Pages 1210-1240

10.22067/ijnao.2025.90460.1542

T. Amoozad, S. Abbasbandy, H. Sahihi, T. Allahviranloo

Solving mixed singular integro-differential equation (IDE) using the finite elements method

Volume 15, Issue 2, June 2025, Pages 457-474

10.22067/ijnao.2024.89654.1503

M. Erfanian, H. Zeidabadi, M.S. Hussein

A Petrov–Galerkin approach for the numerical analysis of soliton and multi-soliton solutions of the Kudryashov–Sinelshchikov equation

Volume 14, Issue 4, December 2024, Pages 1309-1334

10.22067/ijnao.2024.87548.1422

H. Samy, W. Adel, I. Hanafy, M. Ramadan

Estimation of the regression function by Legendre wavelets

Volume 12, Issue 3 (Special Issue), November 2022, Pages 497-512

10.22067/ijnao.2022.73876.1079

M. Hamzehnejad, M.M. Hosseini, A. Salemi

The Fibonacci polynomials solution for Abel’s integral equation of second kind

Volume 10, Issue 1, Spring 2020, Pages 63-79

10.22067/ijnao.v10i1.81828

H. Deilami Azodi

A new method for exact product form and approximation solutions of a parabolic equation with nonlocal initial condition using Ritz method

Volume 10, Issue 1, Spring 2020, Pages 121-138

10.22067/ijnao.v10i1.83685

Z. Barikbin

Application of modified hat functions for solving nonlinear quadratic integral equations

Volume 6, Issue 2, Summer 2016, Pages 65-84

10.22067/ijnao.v6i2.46565

F. Mirzaee, E. Hadadiyan

Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations

Volume 4, Issue 2, Autumn 2014, Pages 73-83

10.22067/ijnao.v4i2.34304

M. Gachpazan, M. Erfanian, H. Beiglo

Iranian Journal of Numerical Analysis and Optimization

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