Group preserving scheme and reproducing kernel method for the Poisson–Boltzmann equation for semiconductor devices

Simplified reproducing kernel method for fractional differential equations with delay

(2016) Min-Qiang Xu et al.   APPLIED MATHEMATICS LETTERS

Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation

(2016) Gangwei Wang et al.   CHAOS SOLITONS & FRACTALS

Some error estimates for the reproducing kernel Hilbert spaces method

(2016) Saeid Abbasbandy et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line

(2016) M.S. Hashemi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A nonlocal modified Poisson–Boltzmann equation and finite element solver for computing electrostatics of biomolecules

(2016) Dexuan Xie et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An estimate of the oscillation of harmonic reproducing kernels with applications

(2016) Adem Ersin Üreyen   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Jacobi spectral collocation approximation for multi-dimensional time-fractional Schrödinger equations

(2016) Ali H. Bhrawy et al.   NONLINEAR DYNAMICS

Analytical study of solitons to nonlinear time fractional parabolic equations

(2016) M. Mirzazadeh   NONLINEAR DYNAMICS

Thirring combo-solitons with cubic nonlinearity and spatio-temporal dispersion

(2016) Qin Zhou et al.   Waves in Random and Complex Media

Constructing a new geometric numerical integration method to the nonlinear heat transfer equations

(2015) M.S. Hashemi   Communications in Nonlinear Science and Numerical Simulation

Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion

(2015) M. Ekici et al.   NONLINEAR DYNAMICS

Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique

(2015) Ali Akgül et al.   Advances in Difference Equations

Soliton Solution of Generalized Chiral Nonlinear Schr\"odinger's Equation with Time-dependent Coefficients

(2014) A. Biswas et al.   ACTA PHYSICA POLONICA B

The backward group preserving scheme for multi-dimensional nonhomogeneous and nonlinear backward wave problems

(2014) Chih-Wen Chang et al.   APPLIED MATHEMATICAL MODELLING

Reproducing Kernel Hilbert Space Method for Solving Bratu’s Problem

(2014) Mustafa Inc et al.   Bulletin of the Malaysian Mathematical Sciences Society

An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws

(2014) R. M. Morris et al.   Collectanea Mathematica

Optical solitons with spatio-temporal dispersion by first integral approach and functional variable method

(2014) M. Mirzazadeh et al.   OPTIK

Solitons, Shock Waves, Conservation Laws and Bifurcation Analysis of Boussinesq Equation with Power Law Nonlinearity and Dual Dispersion

(2014) Anjan Biswas et al.   Applied Mathematics & Information Sciences

Exact analytical solution to the Poisson-Boltzmann equation for semiconductor devices

(2014) Elyas Shivanian et al.   European Physical Journal Plus

Bifurcation Analysis and Implicit Solution of Klein-Gordon Equation with Dual-power Law Nonlinearity in Relativistic Quantum Mechanics

(2013) Anjan Biswas et al.   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Group analysis of the modified generalized Vakhnenko equation

(2012) M.S. Hashemi et al.   Communications in Nonlinear Science and Numerical Simulation

Group preserving scheme for the Cauchy problem of the Laplace equation

(2011) S. Abbasbandy et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domains

(2011) Chein-Shan Liu et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Application of the homotopy analysis method to the Poisson–Boltzmann equation for semiconductor devices

(2010) Christopher J. Nassar et al.   Communications in Nonlinear Science and Numerical Simulation

The backward group preserving scheme for 1D backward in time advection-dispersion equation

(2009) Chein-Shan Liu et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Applications of the modified Trefftz method for the Laplace equation

(2008) Yung-Wei Chen et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Method for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methods

(2008) Fazhan Geng et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS