Volume 2015

**Issue 2**

A Derivative-Free Method of Eighth-Order For Finding Simple Root of Nonlinear Equations

Neha Choubey, J. P. Jaiswal

Volume 2015, Issue 2, Year 2015 Article ID cna-00227, Pages 90-103

Published: 11 June 2015

**Issue 1**

Numerical Solution of Fuzzy Differential Equations by Runge-Kutta Verner Method

T. Jayakumar, T. Muthukumar, K. Kanagarajan

Volume 2015, Issue 1, Year 2015 Article ID cna-00203, Pages 1-15

Published: 31 January 2015

Analytical modeling for fractional multi-dimensional diffusion equations by using Laplace transform

Devendra Kumar, Jagdev Singh, Sunil Kumar

Volume 2015, Issue 1, Year 2015 Article ID cna-00220, Pages 16-29

Published: 31 January 2015

Mixed convection stagnation-point flow of nanofluids over a stretching/shrinking sheet in a porous medium with internal heat generation/absorption

Dulal Pal, Gopinath Mandal, Kuppalapalle Vajravalu

Volume 2015, Issue 1, Year 2015 Article ID cna-00228, Pages 30-50

Published: 29 May 2015

Analytic approximate solution for some integral equations by optimal homotopy analysis transform method

Mohamed S. Mohamed, Muteb R. Alharthi, Refah A. Alotabi

Volume 2015, Issue 1, Year 2015 Article ID cna-00231, Pages 51-61

Published: 29 May 2015

Entropy Generation in a Rotating Couette Flow with Suction/Injection

S. Das, R. N. Jana, A. J. Chamkha

Volume 2015, Issue 1, Year 2015 Article ID cna-00229, Pages 62-81

Published: 29 May 2015

Perturbation Solutions of the Quintic Duffing Equation with Strong Nonlinearities

Mehmet Pakdemirli, Gözde Sarı

Volume 2015, Issue 1, Year 2015 Article ID cna-00230, Pages 82-89

Published: 06 June 2015

Volume 2014

Complex-valued travelling wave solutions to the Casimir equation for the Ito system via the first integral method

M. Hajiketabi, R. A. Van Gorder, E. Shivanian

Volume 2014, Year 2014 Article ID cna-00221, 11 Pages

Published: 16 December 2014

The power series method for a long term solution of Duffing oscillator

Chein-Shan Liu, Wun-Sin Jhao

Volume 2014, Year 2014 Article ID cna-00214, 14 Pages

Published: 22 November 2014

New implementation of reproducing kernel Hilbert space method for solving a class of functional integral equations

Shahnam Javadi, Esmail Babolian, Eslam Moradi

Volume 2014, Year 2014 Article ID cna-00205, 7 Pages

Published: 18 October 2014

Block pulse approximation of fractional stochastic integro-differential equation

M. Asgari

Volume 2014, Year 2014 Article ID cna-00212, 7 Pages

Published: 16 September 2014

Effects of Ramped Wall Temperature on Unsteady Two-Dimensional Flow Past a Vertical Plate with Thermal Radiation and Chemical Reaction

V. Rajesh, A. J. Chamkha

Volume 2014, Year 2014 Article ID cna-00218, 17 Pages

Published: 12 August 2014

Double exponential transformation in the Sinc-Galerkin method for the solution of problems in calculus of variations

M. Zarebnia, N. Aliniya

Volume 2014, Year 2014 Article ID cna-00204, 13 Pages

Published: 20 July 2014

On a new class of integrals involving Bessel functions of the first kind

P. Agarwal, S. Jain, S. Agarwal, M. Nagpal

Volume 2014, Year 2014 Article ID cna-00216, 7 Pages

Published: 24 June 2014

A Nonlinear Integral Model of Optimal Replacement Numerical Viewpoint

N. Motamedi, M. Hadizadeh, M. Reza Peyghami

Volume 2014, Year 2014 Article ID cna-00207, 9 Pages

Published: 31 May 2014

MHD oscillating flows of rotating second grade fluids in a porous medium

M. A. Imran, M. Imran, C. Fetecau

Volume 2014, Year 2014 Article ID cna-00196, 12 Pages

Published: 22 April 2014

Traveling Wave Solutions of ZK-BBM Equation Sine-Cosine Method

Sadaf Bibi, Syed Tauseef Mohyud-Din

Volume 2014, Year 2014 Article ID cna-00154, 9 Pages

Published: 16 March 2014

On the solutions of the (1+1) and (2+1)-dimensional higher-order Broer-Kaup systems

A.M. Wazwaz

Volume 2014, Year 2014 Article ID cna-00193, 9 Pages

Published: 15 February 2014

Heat and Mass Transfer of a Micropolar Fluid in a Porous Channel

M. Sheikholeslami, H. R. Ashorynejad, D. D. Ganji, M. M. Rashidi

Volume 2014, Year 2014 Article ID cna-00166, 20 Pages

Published: 11 January 2014

A Generalized FDM for solving the Poisson’s Equation on 3D Irregular Domains

J. Izadian, M. Jalili

Volume 2014, Year 2014 Article ID cna-00201, 7 Pages

Published: 11 January 2014

Volume 2013

Application of the Variational Iteration Method to the Initial Value Problems of Q-difference Equations-Some Examples

Yu Xiang Zeng, Yi Zeng, Guo-Cheng Wu

Volume 2013, Year 2013 Article ID cna-00180, 9 Pages

Published: 03 December 2013

A State Feedback Controller Used to Solve an Ill-posed Linear System by a GL(n, R) Iterative Algorithm

Chein-Shan Liu

Volume 2013, Year 2013 Article ID cna-00181, 22 Pages

Published: 23 November 2013

Convergence of Iterative Methods applied to Boussinesq equation

Sh. S. Behzadi

Volume 2013, Year 2013 Article ID cna-00165, 18 Pages

Published: 23 November 2013

A fourth-order finite difference scheme for the numerical solution of 1D linear hyperbolic equation

Akbar Mohebbi

Volume 2013, Year 2013 Article ID cna-00148, 11 Pages

Published: 22 October 2013

Minimal solution for inconsistent singular fuzzy matrix equations

M. Nikuie, M. K. Mirnia

Volume 2013, Year 2013 Article ID cna-00147, 9 Pages

Published: 03 October 2013

A note on the paper "A family of optimal iterative methods with fifth and tenth order convergence for solving nonlinear convergence"

Taher Lotfi, Mehdi Salimi

Volume 2013, Year 2013 Article ID cna-00185, 3 Pages

Published: 25 September 2013

Integral mean value method for solving a general nonlinear Fredholm integro-differential equation under the mixed conditions

Ahmad Molabahrami

Volume 2013, Year 2013 Article ID cna-00146, 15 Pages

Published: 14 September 2013

Solitary wave and periodic wave solutions for variants of the KdV-Burger and the K(n, n)-Burger equations by the generalized tanh-coth method

Jalil Manafian Heris, Mehrdad Lakestani

Volume 2013, Year 2013 Article ID cna-00155, 18 Pages

Published: 13 August 2013

Optimal Homotopy Asymptotic Method for Solving System of Fredholm Integral Equations

Bahman Ghazanfari, Nahid Yari

Volume 2013, Year 2013 Article ID cna-00186, 15 Pages

Published: 06 August 2013

Traveling wave solutions of a biological reaction-convection-diffusion equation model by using (G'/G) expansion method

Sh. Javadi, M. Miri Karbasaki, M. Jani

Volume 2013, Year 2013 Article ID cna-00173, 5 Pages

Published: 24 July 2013

Numerical simulations of 1D inverse heat conduction problems using overdetermined RBF-MLPG method

Ahmad Shirzadi

Volume 2013, Year 2013 Article ID cna-00172, 11 Pages

Published: 13 July 2013

Comparison of Spectral and Differential Quadrature Methods for Solving the Burger-Huxley Equation

J. Izadian, F. Nateghi, M. Jalili

Volume 2013, Year 2013 Article ID cna-00171, 7 Pages

Published: 28 June 2013

Application of spectral collocation method to a class of nonlinear PDEs

M. Zarebnia, S. Jalili

Volume 2013, Year 2013 Article ID cna-00136, 14 Pages

Published: 14 May 2013

Numerical solution of nonlinear Volterra-Fredholm integral equations by using new basis functions

Mahmoud Paripour, Mahdi Kamyar

Volume 2013, Year 2013 Article ID cna-00170, 11 Pages

Published: 23 April 2013

Approximations of the nonlinear Painlevé transcendents

Najeeb Alam Khan, Muhammad Jamil, Nadeem Alam Khan

Volume 2013, Year 2013 Article ID cna-00127, 6 Pages

Published: 19 March 2013

Analytic approximate solution for the Bratu's problem by optimal homotopy analysis method

Hany N. Hassan, Mourad S. Semary

Volume 2013, Year 2013 Article ID cna-00139, 14 Pages

Published: 22 February 2013

Numerical solution of the helmholtz equation for the superellipsoid via the galerkin method

Yajni Warnapala, Hy Dinh

Volume 2013, Year 2013 Article ID cna-00178, 12 Pages

Published: 29 January 2013

Volume 2012

Numerical solution of General Rosenau-RLW Equation using Quintic B-splines Collocation Method

R.C. Mittal, R.K. Jain

Volume 2012, Year 2012 Article ID cna-00129, 19 pages

Published: 29 December 2012

Numerical Study of Second Painlevé Equation

Abbas Saadatmandi

Volume 2012, Year 2012 Article ID cna-00157, 16 pages

Published: 29 November 2012

Fuzzy Fredholm integro-differential equations with artificial neural networks

Maryam Mosleh, Mahmood Otadi

Volume 2012, Year 2012 Article ID cna-00128, 13 pages

Published: 29 October 2012

Fully fuzzy interpolation problem with signed distance

M. Adabitabar Firozja

Volume 2012, Year 2012 Article ID cna-00102, 7 pages

Published: 05 October 2012

Statistical Tests for Comparing Pareto Charts

Przemysław Grzegorzewski

Volume 2012, Year 2012 Article ID cna-00110, 12 pages

Published: 23 September 2012

Numerical simulation of GEW equation using RBF collocation method

Hamid Panahipour

Volume 2012, Year 2012 Article ID cna-00059, 28 pages

Published: 11 August 2012

Heisenberg uncertainty relation and statistical measures in the square well

R. López-Ruiz, J. Sañudo

Volume 2012, Year 2012 Article ID cna-00117, 7 pages

Published: 30 July 2012

Series solution for continuous population models for single and interacting species by the homotopy analysis method

Hany N. Hassan, Magdy A. El-Tawil

Volume 2012, Year 2012 Article ID cna-00106, 21 pages

Published: 24 July 2012

Utilizing a new feed-back fuzzy neural network for solving a system of fuzzy equations

A. Jafarian, S. Measoomy Nia

Volume 2012, Year 2012 Article ID cna-00096, 12 pages

Published: 19 June 2012

On a second parameter in the solution of the flow near a rotating disk by homotopy analysis method

P. Donald Ariel

Volume 2012, Year 2012 Article ID cna-00111, 13 Pages

Published: 25 May 2012

A Numerical Method For Solving Nth-Order Fuzzy Differential Equation by using Characterization Theorem

S. Siah Mansouri, N. Ahmady

Volume 2012, Year 2012 Article ID cna-00054, 12 pages

Published: 18 May 2012

On the solution of the Generalized Bretherton Equation by the Homogeneous Balance Method

Cem Oğuz, Ahmet Yildirim, Shahlar Meherrem

Volume 2012, Year 2012 Article ID cna-00052, 12 pages

Published: 30 April 2012

Modifications of Steepest Descent Method and Conjugate Gradient Method Against Noise for Ill-posed Linear Systems

Chein-Shan Liu

Volume 2012, Year 2012 Article ID cna-00115, 24 pages

Published: 30 April 2012

On the Positive Definite Solutions of the Nonlinear Matrix Equation X-A^{*}X^{-s}A-B^{*}X^{-t}B=I

Asmaa M. Al-Dubiban, Salah M. El-Sayed

Volume 2012, Year 2012 Article ID cna-00116, 8 pages

Published: 31 March 2012

The Use of Iterative Methods to Solve Two-Dimensional Nonlinear Volterra-Fredholm Integro-Differential Equations

Sh. Sadigh Behzadi

Volume 2012, Year 2012 Article ID cna-00108, 20 pages

Published: 31 March 2012

Application of Extended Tanh Method to Generalized Burgers-type Equations

Hamid Panahipour

Volume 2012, Year 2012 Article ID cna-00058, 14 pages

Published: 29 February 2012

A Series Solution of Non-local Hyperbolic Equation

H. R. Marasi, R. Faghiri, M. S. Hashemi

Volume 2012, Year 2012 Article ID cna-00113, 13 pages

Published: 29 February 2012

Tau-Homotopy Analysis Method for Solving Micropolar Flow due to a Linearly Stretching of Porous Sheet

S. Kazem, M. Shaban

Volume 2012, Year 2012 Article ID cna-00114, 21 pages

Published: 31 January 2012

On Approximation and Numerical Solution of Fredholm-Hammerstein Integral Equations Using Multiquadric Quasi-interpolation

R. Ezzati, K. Shakibi

Volume 2012, Year 2012 Article ID cna-00112, 10 pages

Published: 28 January 2012

Volume 2011

A Series Solution of the Cauchy Problem for Turing Reaction-diffusion Model

A. Shidfar, L. Päivärinta, A. Molabahrami

Volume 2011, Year 2011 Article ID cna-00062, 11 pages

Published: 24 December 2011

Heat and Mass Transfer from MHD Flow over a Moving Permeable Cylinder with Heat Generation or Absorption and Chemical Reaction

Ali J. Chamkha

Volume 2011, Year 2011, Article ID cna-00109, 20 Pages

Published: 21 December 2011

The Regularization-Homotopy Method for the Linear and Non-linear Fredholm Integral Equations of the First Kind

Abdul-Majid Wazwaz

Volume 2011, Year 2011, Article ID cna-00105, 11 Pages

Published: 13 November 2011

A numerical study on reaction-diffusion problem using radial basis functions

K. Parand, S. Kazem, A.R. Rezaei

Volume 2011, Year 2011, Article ID cna-00104, 11 Pages

Published: 25 October 2011