| Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu |
74 |
| Numerical algorithm for solving time-fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions |
26 |
| Numerical simulation and solutions of the two-component second order KdV evolutionary system |
26 |
| Solutions of time-fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space |
24 |
| Ill-conditioning in the virtual element method: Stabilizations and bases |
17 |
| Stability of a finite volume element method for the time-fractional advection-diffusion equation |
17 |
| Stability Analysis for Fractional-Order Partial Differential Equations by Means of Space Spectral Time Adams-Bashforth Moulton Method |
15 |
| Spectral technique for solving variable-order fractional Volterra integro-differential equations |
14 |
| Numerical solution of nonlinear partial quadratic integro-differential equations of fractional order via hybrid of block-pulse and parabolic functions |
10 |
| A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions |
10 |
| Engine oil based generalized brinkman-type nano-liquid with molybdenum disulphide nanoparticles of spherical shape: Atangana-Baleanu fractional model |
10 |
| An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian |
10 |
| Solving the burgers' and regularized long wave equations using the new perturbation iteration technique |
9 |
| Chaos in a nonlinear Bloch system with Atangana-Baleanu fractional derivatives |
9 |
| A computational method based on Hermite wavelets for two-dimensional Sobolev and regularized long wave equations in fluids |
8 |
| New two step Laplace Adam-Bashforth method for integer a noninteger order partial differential equations |
8 |
| A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection |
8 |
| Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann-Liouville derivative |
8 |
| Convergence analysis of virtual element methods for semilinear parabolic problems on polygonal meshes |
8 |
| A numerical approach for solving weakly singular partial integro-differential equations via two-dimensional-orthonormal Bernstein polynomials with the convergence analysis |
8 |
| Two-grid method for two-dimensional nonlinear Schrodinger equation by finite element method |
7 |
| A domain decomposition method for solving singularly perturbed parabolic reaction-diffusion problems with time delay |
7 |
| New conservative difference schemes with fourth-order accuracy for some model equation for nonlinear dispersive waves |
6 |
| A local radial basis function collocation method to solve the variable-order time fractional diffusion equation in a two-dimensional irregular domain |
6 |
| A reliable algorithm for the approximate solution of the nonlinear Lane-Emden type equations arising in astrophysics |
6 |
| Convergence rate of collocation method based on wavelet for nonlinear weakly singular partial integro-differential equation arising from viscoelasticity |
6 |
| A weak Galerkin mixed finite element method for the Helmholtz equation with large wave numbers |
6 |
| Numerical analysis of a finite volume scheme for a seawater intrusion model with cross-diffusion in an unconfined aquifer |
5 |
| A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation |
5 |
| A steady barycentric Lagrange interpolation method for the 2D higher-order time-fractional telegraph equation with nonlocal boundary condition with error analysis |
5 |
| Reconstructing unknown nonlinear boundary conditions in a time-fractional inverse reaction-diffusion-convection problem |
5 |
| Approximation capabilities of immersed finite element spaces for elasticity Interface problems |
5 |
| Uniformly convergent novel finite difference methods for singularly perturbed reaction-diffusion equations |
5 |
| Existence of Solution of a Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations |
5 |
| Unconditional superconvergence analysis of an &ITH&IT1-galerkin mixed finite element method for nonlinear Sobolev equations |
5 |
| High-order energy-preserving schemes for the improved Boussinesq equation |
5 |
| Variational formulation and efficient implementation for solving the tempered fractional problems |
5 |
| A linearized and second-order unconditionally convergent scheme for coupled time fractional Klein-Gordon-Schrodinger equation |
4 |
| An efficient numerical treatment of fourth-order fractional diffusion-wave problems |
4 |
| Optimal error estimate of a conformal Fourier pseudo-spectral method for the damped nonlinear Schrodinger equation |
4 |
| A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation |
4 |
| Analysis of the operator splitting scheme for the Cahn-Hilliard equation with a viscosity term |
4 |
| Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique |
4 |
| Superconvergence analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrodinger equation |
4 |
| Numerical simulation of time fractional Cable equations and convergence analysis |
4 |
| Unconditional superconvergent analysis of a new mixed finite element method for Ginzburg-Landau equation |
4 |
| A novel variable-order fractional nonlinear Klein Gordon model: A numerical approach |
4 |
| Maximum norm error analysis of an unconditionally stable semi-implicit scheme for multi-dimensional Allen-Cahn equations |
4 |
| The method of fundamental solutions for the Oseen steady-state viscous flow past obstacles of known or unknown shapes |
3 |
| A fully discrete spectral method for fractional Cattaneo equation based on Caputo-Fabrizo derivative |
3 |
