The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs

Approximate Solutions of DASs with Nonclassical Boundary Conditions using Novel Reproducing Kernel Algorithm

(2016) Omar Abu Arqub   FUNDAMENTA INFORMATICAE

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

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

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

(2016) Omar Abu Arqub et al.   NEURAL COMPUTING & APPLICATIONS

Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves

(2016) Sunil Kumar et al.   NONLINEAR DYNAMICS

A new analysis for the Keller-Segel model of fractional order

(2016) Sunil Kumar et al.   NUMERICAL ALGORITHMS

Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems

(2016) Omar Abu Arqub et al.   SOFT COMPUTING

Approximate analytical solutions of nonlocal fractional boundary value problems

(2015) Xiuying Li et al.   APPLIED MATHEMATICAL MODELLING

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

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

Extending explicit and linearly implicit ODE solvers for index-1 DAEs

(2015) Matthew T. Lawder et al.   COMPUTERS & CHEMICAL ENGINEERING

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

(2015) Omar Abu Arqub   NEURAL COMPUTING & APPLICATIONS

Revisited Fisher’s equation in a new outlook: A fractional derivative approach

(2015) Marwan Alquran et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

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

(2015) Omar Abu Arqub et al.   SOFT COMPUTING

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

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

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

A reproducing kernel method for solving nonlocal fractional boundary value problems

(2011) Fazhan Geng et al.   APPLIED MATHEMATICS LETTERS

The reproducing kernel method for solving the system of the linear Volterra integral equations with variable coefficients

(2011) Li-Hong Yang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space

(2010) Wei Jiang et al.   Communications in Nonlinear Science and Numerical Simulation

Approximate solution of the fractional advection–dispersion equation

(2009) Wei Jiang et al.   COMPUTER PHYSICS COMMUNICATIONS

Numerical algorithm for parabolic problems with non-classical conditions

(2009) Yongfang Zhou et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS