Iranian Journal of Numerical Analysis and Optimization

Main Subjects = Numerical Analysis

Approximate symmetries of the perturbed KdV-KS equation

Articles in Press, Accepted Manuscript, Available Online from 01 February 2025

10.22067/ijnao.2025.90854.1551

Akram Mohammadpouri; Mir Sajjad Hashemi; Roya Abbasi; Rana Abbasi

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

Articles in Press, Accepted Manuscript, Available Online from 19 March 2025

10.22067/ijnao.2025.91136.1561

Harika Bolledla; Rajaiah Dasari; Shivaji Arepelly; Ladalla Raj Kumar

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Quasilinearization method to solve several classes of nonlinear Lane-Emden equations by Gegenbauer polynomials

Articles in Press, Accepted Manuscript, Available Online from 07 May 2025

10.22067/ijnao.2025.91431.1578

Fateme Sheikhi; Bahman Ghazanfari

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Cutting-Edge spectral solutions for differential and integral equations utilizing Legendre’s derivatives

Articles in Press, Accepted Manuscript, Available Online from 09 May 2025

10.22067/ijnao.2025.91804.1590

Ahmed M. Abbas; Youssri H. Youssri; Mamdouh El-Kady; Mohamed A Abdelhakem

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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

An accurate numerical technique for solving a special case of fractional differential equations using the Khalouta transform of two different fractional derivatives

Volume 15, Issue 2, June 2025, Pages 625-644

10.22067/ijnao.2025.89967.1523

A. Khalouta

Explicit collocation algorithm for the nonlinear fractional Duffing equation via third-kind Chebyshev polynomials

Volume 15, Issue 2, June 2025, Pages 655-675

10.22067/ijnao.2025.90483.1543

Y.H. Youssri; A.G. Atta; M.O. Moustafa; Z.Y. Abu Waar

A parameter uniform hybrid approach for singularly perturbed two-parameter parabolic problem with discontinuous data

Volume 15, Issue 2, June 2025, Pages 728-769

10.22067/ijnao.2025.90299.1536

N. Roy; A. Jha

A numerical algorithm based on Jacobi polynomials for FIDEs with error estimation

Volume 15, Issue 2, June 2025, Pages 770-822

10.22067/ijnao.2025.92092.1596

K. Sadri; D. Amilo; E. Hincal

An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind

Volume 15, Issue 1, March 2025, Pages 54-78

10.22067/ijnao.2024.85903.1361

H. Safdari; M. Moradkhani; M.T. Dastjerdi

Stability of impulsive fractional stochastic integro-differential equations with state dependent delay and Poisson jumps by using Mainardi’s function

Volume 15, Issue 1, March 2025, Pages 220-254

10.22067/ijnao.2024.87562.1423

C. Mattuvarkuzhali; I. Silambarasan

Parameter-uniform numerical treatment of singularly perturbed parabolic delay differential equations with nonlocal boundary conditions

Volume 15, Issue 1, March 2025, Pages 255-283

10.22067/ijnao.2024.89176.1490

W.S. Hailu; G.F. Duressa

Dynamical analysis of a nonlinear oscillator chain in the Peyrard–Bishop DNA model using residual power series and Laplace residual power series method

Volume 15, Issue 1, March 2025, Pages 346-374

10.22067/ijnao.2024.88564.1461

D. Priyadarsini; P.K. Sahu; M. Routaray

A numerical solution of parabolic quasi-variational inequality nonlinear using Newton-multigrid method

Volume 14, Issue 4, December 2024, Pages 991-1015

10.22067/ijnao.2024.86954.1395

M. Bahi; M. Beggas; N. Nesba; A. Imtiaz

A space-time least-squares support vector regression scheme for inverse source problem of the time-fractional wave equation

Volume 14, Issue 4, December 2024, Pages 1037-1068

10.22067/ijnao.2024.86883.1392

A. Mohammadi; A. Tari Marzabad

Adaptive mesh based Haar wavelet approximation for a singularly perturbed integral boundary problem

Volume 14, Issue 4, December 2024, Pages 1140-1167

10.22067/ijnao.2024.87550.1421

P. Shukla; S. Saini; V. Devi

A novel mid-point upwind scheme for fractional-order singularly perturbed convection-diffusion delay differential equation

Volume 14, Issue 4, December 2024, Pages 1247-1279

10.22067/ijnao.2024.88781.1472

N.A. Endrie; G.F. Duressa

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 1309-1335

10.22067/ijnao.2024.87548.1422

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

Nonpolynomial B-spline collocation method for solving singularly perturbed quasilinear Sobolev equation

Volume 14, Issue 3, September 2024, Pages 638-661

10.22067/ijnao.2024.85929.1363

F. Edosa Merga; G. File Duressa

An improved imperialist competitive algorithm for solving an inverse form of the Huxley equation

Volume 14, Issue 3, September 2024, Pages 681-707

10.22067/ijnao.2024.86692.1384

H. Dana Mazraeh; K. Parand; H. Farahani; S.R. Kheradpisheh

Uniformly convergent numerical solution for caputo fractional order singularly perturbed delay differential equation using extended cubic B-spline collocation scheme

Volume 14, Issue 3, September 2024, Pages 762-795

10.22067/ijnao.2024.86894.1393

N.A. Endrie; G.F. Duressa

Finite element analysis for microscale heat equation with Neumann boundary conditions

Volume 14, Issue 3, September 2024, Pages 796-832

10.22067/ijnao.2024.87084.1403

M.H. Hashim; A.J. Harfash

Numerical method for the solution of high order Fredholm integro-differential difference equations using Legendre polynomials

Volume 14, Issue 3, September 2024, Pages 833-874

10.22067/ijnao.2024.87599.1425

P.T. Pantuvo; G. Ajileye; R. Taparki; O.O. Aduroja

A numerical computation for solving delay and neutral differential equations based on a new modification to the Legendre wavelet method

Volume 14, Issue 3, September 2024, Pages 900-937

10.22067/ijnao.2024.87373.1412

N.M. El-Shazly; M.A Ramadan

Extending quasi-GMRES method to solve generalized Sylvester tensor equations via the Einstein product

Volume 14, Issue 3, September 2024, Pages 938-969

10.22067/ijnao.2024.87481.1418

M.M. Izadkhah

Iranian Journal of Numerical Analysis and Optimization

Journal Archive

Volume 15 (2025)

Volume 14 (2024)

Volume 13 (2023)

Volume 12 (2022)

Volume 11 (2021)

Volume 10 (2020)

Volume 9 (2019)

Volume 8 (2018)

Volume 7 (2017)

Volume 6 (2016)

Volume 5 (2015)

Volume 4 (2014)

Volume 3 (2013)

Volume 2 (2009)

Volume 1 (2008)