A Crank–Nicolson-type finite-difference scheme and its algorithm implementation for a nonlinear partial integro-differential equation arising from viscoelasticity

A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives

(2020) Mostafa Abbaszadeh et al.   ENGINEERING WITH COMPUTERS

A parallel-in-time iterative algorithm for Volterra partial integral-differential problems with weakly singular kernel

(2020) Xian-Ming Gu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Crank–Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation

(2020) Mostafa Abbaszadeh et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives

(2019) Mehdi Dehghan et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

(2018) Meng Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A meshless method for the numerical solution of nonlinear weakly singular integral equations using radial basis functions

(2017) Pouria Assari et al.   European Physical Journal Plus

A second-order BDF compact difference scheme for fractional-order Volterra equation

(2015) Hongbin Chen et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

On two linearized difference schemes for Burgers’ equation

(2014) Hong Sun et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation

(2014) Hongbin Chen et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation

(2011) Ya-nan Zhang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS