Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates

Computing Modulo-n by Composing Cellular Automata Rules

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The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations

(2016) Omar Abu Arqub   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Modified reproducing kernel method for singularly perturbed boundary value problems with a delay

(2015) F.Z. Geng et al.   APPLIED MATHEMATICAL MODELLING

Exactly satisfying initial conditions neural network models for numerical treatment of first Painlevé equation

(2015) Muhammad Asif Zahoor Raja et al.   APPLIED SOFT COMPUTING

Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations

(2015) Omar Abu Arqub   NEURAL COMPUTING & APPLICATIONS

A computational overview of the solution space of the imaginary Painlevé II equation

(2015) Bengt Fornberg et al.   PHYSICA D-NONLINEAR PHENOMENA

Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

(2015) Omar Abu Arqub et al.   SOFT COMPUTING

Comparison of three unsupervised neural network models for first Painlevé Transcendent

(2014) Muhammad Asif Zahoor Raja et al.   NEURAL COMPUTING & APPLICATIONS

Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers

(2013) F.Z. Geng et al.   APPLIED MATHEMATICS LETTERS

A numerical method for singularly perturbed turning point problems with an interior layer

(2013) F.Z. Geng et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation

(2013) Wei Jiang et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Numerical solution of the Bagley-Torvik equation by the Bessel collocation method

(2012) Şuayip Yüzbaşı   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Homotopy analysis method to obtain numerical solutions of the Painlevé equations

(2012) Esmail Hesameddini et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Inverse heat problem of determining time-dependent source parameter in reproducing kernel space

(2012) Wenyan Wang et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

A New Stochastic Technique for Painlevé Equation-I Using Neural Network Optimized with Swarm Intelligence

(2012) Muhammad Asif Zahoor Raja et al.   Computational Intelligence and Neuroscience

A numerical methodology for the Painlevé equations

(2011) Bengt Fornberg et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solution of Fractional Order System of Bagley-Torvik Equation Using Evolutionary Computational Intelligence

(2011) Muhammad Asif Zahoor Raja et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

Iterative reproducing kernel method for nonlinear oscillator with discontinuity

(2010) Boying Wu et al.   APPLIED MATHEMATICS LETTERS

General solution of the Bagley–Torvik equation with fractional-order derivative

(2009) Z.H. Wang et al.   Communications in Nonlinear Science and Numerical Simulation

The solution of the Bagley–Torvik equation with the generalized Taylor collocation method

(2009) Yücel Çenesiz et al.   JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

The numerical solution of the second Painlevé equation

(2009) Mehdi Dehghan et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Application of the enhanced homotopy perturbation method to solve the fractional-order Bagley–Torvik differential equation

(2009) M Zolfaghari et al.   PHYSICA SCRIPTA

Application of He's Variational Iteration Method to Solve Semidifferential Equations of th Order

(2008) Asghar Ghorbani et al.   MATHEMATICAL PROBLEMS IN ENGINEERING