Iranian Journal of Numerical Analysis and Optimization

Main Subjects = Numerical methods for differential equations and its applications

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

Articles in Press, Accepted Manuscript, Available Online from 04 January 2025

10.22067/ijnao.2025.90483.1543

Youssri Hassan Youssri; Ahmed Gamal Atta; Mohamed Orabi Moustafa; Ziad Yousef Abu Waar

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

Articles in Press, Accepted Manuscript, Available Online from 02 March 2025

10.22067/ijnao.2025.89967.1523

Ali Khalouta

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

Articles in Press, Accepted Manuscript, Available Online from 05 March 2025

10.22067/ijnao.2025.90299.1536

Nirmali Roy; Anuradha Jha

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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

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

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

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

Quantum solutions of a nonlinear Schrödinger equation

Volume 14, Issue 2, June 2024, Pages 330-346

10.22067/ijnao.2023.84855.1324

S. Arfaoui; Ben Mabrouk

High order second derivative multistep collocation methods for ordinary differential equations

Volume 14, Issue 2, June 2024, Pages 367-390

10.22067/ijnao.2024.85789.1358

S. Fazeli

A new numerical approach to the solution of the nonlinear Kawahara equation by using combined Taylor–Dickson approximation

Volume 14, Issue 1, March 2024, Pages 20-43

10.22067/ijnao.2023.83184.1287

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

Modal spectral Tchebyshev Petrov–Galerkin stratagem for the time-fractional nonlinear Burgers’ equation

Volume 14, Issue 1, March 2024, Pages 172-199

10.22067/ijnao.2023.83389.1292

Y.H. Youssri; A.G. Atta

A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay

Volume 13, Issue 4, December 2023, Pages 627-645

10.22067/ijnao.2023.80721.1214

N.T. Negero

Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method

Volume 13, Issue 4, December 2023, Pages 646-671

10.22067/ijnao.2023.79648.1198

N. Hamidat; S.M. Bahri; N. Abbassa

A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution

Volume 13, Issue 4, December 2023, Pages 672-694

10.22067/ijnao.2023.81716.1238

N. Mollahasani

Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method

Volume 13, Issue 4, December 2023, Pages 711-727

10.22067/ijnao.2023.83070.1283

N. Kumar; R. Kumar Sinha; R. Ranjan

Numerical study of sine-Gordon equations using Bessel collocation method

Volume 13, Issue 4, December 2023, Pages 728-746

10.22067/ijnao.2023.81484.1229

S. Arora; I. Bala

Optimal control analysis for modeling HIV transmission

Volume 13, Issue 4, December 2023, Pages 747-762

10.22067/ijnao.2023.78096.1165

K. R. Cheneke

Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method

Volume 13, Issue 3, September 2023, Pages 397-425

10.22067/ijnao.2023.80916.1215

S. Baharlouei; R. Mokhtari; N. Chegini

Approximate solutions to the Allen–Cahn equation using rational radial basis functions method

Volume 13, Issue 2, June 2023, Pages 187-204

10.22067/ijnao.2022.76010.1123

M. Shiralizadeh; A. Alipanah; M. Mohammadi

Fitted scheme for singularly perturbed time delay reaction-diffusion problems

Volume 13, Issue 2, June 2023, Pages 262-284

10.22067/ijnao.2022.77453.1161

M. Amsalu Ayele; A. Andargie Tiruneh; G. Adamu Derese

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)