Keyword Index

A

  • Air traffic flow A macroscopic second order model for air traffic flow [Volume 8, Issue 1, 2020, Pages 41-54]

B

  • Bakhvalov mesh A fitted mesh method for a coupled system of two singularly perturbed first order differential equations with discontinuous source term [Volume 8, Issue 1, 2020, Pages 55-70]
  • BDF method The extended block Arnoldi method for solving generalized differential Sylvester equations [Volume 8, Issue 2, 2020, Pages 189-206]
  • Big data Partial correlation screening for varying coefficient models [Volume 8, Issue 4, 2020, Pages 363-376]
  • Biosensor Numerical simulation of the biosensors in a trigger mode based on Michaelis-Menten enzymatic reaction [Volume 8, Issue 2, 2020, Pages 123-138]
  • Boundary value conditions Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality [Volume 8, Issue 3, 2020, Pages 257-278]
  • Bratu's problem Solving Bratu's problem by double exponential Sinc method [Volume 8, Issue 4, 2020, Pages 415-433]

C

  • Caputo fractional differential equation Positive solutions for generalized Caputo fractional differential equations with integral boundary conditions [Volume 8, Issue 4, 2020, Pages 393-414]
  • Caputo's fractional derivative Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality [Volume 8, Issue 3, 2020, Pages 257-278]
  • Cauchy-type problem New approach to existence of solution for weighted Cauchy-type problem [Volume 8, Issue 4, 2020, Pages 377-391]
  • Cellular automaton Cellular automaton model for substitutional binary diffusion in solids [Volume 8, Issue 1, 2020, Pages 91-104]
  • Cholesky decomposition Inner and outer estimations of the generalized solution sets and an application in economic [Volume 8, Issue 4, 2020, Pages 345-361]
  • Conjugate gradient methods A modified conjugate gradient method based on a modified secant equation [Volume 8, Issue 1, 2020, Pages 1-20]
  • Cyberspace Modeling the spread dynamics of racism in cyberspace [Volume 8, Issue 2, 2020, Pages 105-122]

D

  • Dai-Liao conjugate gradient method New nonlinear conjugate gradient methods based on optimal Dai-Liao parameters [Volume 8, Issue 1, 2020, Pages 21-39]
  • Diffusion Cellular automaton model for substitutional binary diffusion in solids [Volume 8, Issue 1, 2020, Pages 91-104]
  • Dirichlet-Neumann Numerical study of optimal control domain decomposition for nonlinear boundary heat in the human eye [Volume 8, Issue 3, 2020, Pages 219-240]

E

  • Extended block Krylov subspace The extended block Arnoldi method for solving generalized differential Sylvester equations [Volume 8, Issue 2, 2020, Pages 189-206]

F

  • Finite difference method Finite difference method for capillary formation model in tumor angiogenesis [Volume 8, Issue 2, 2020, Pages 177-188]
  • Finite difference method Regularity analysis and numerical resolution of the Pharmacokinetics (PK) equation for cisplatin with random coefficients and initial conditions [Volume 8, Issue 4, 2020, Pages 455-477]
  • Fixed point Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality [Volume 8, Issue 3, 2020, Pages 257-278]
  • Fixed point theorem Positive solutions for generalized Caputo fractional differential equations with integral boundary conditions [Volume 8, Issue 4, 2020, Pages 393-414]
  • Fractional diffusion equation $2n$-by-$2n$ circulant preconditioner for a kind of spatial fractional diffusion equations [Volume 8, Issue 3, 2020, Pages 207-218]
  • Fractional integrals and derivatives New approach to existence of solution for weighted Cauchy-type problem [Volume 8, Issue 4, 2020, Pages 377-391]
  • Fractional partial differential equations Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets [Volume 8, Issue 4, 2020, Pages 435-454]

G

H

  • Heat distribution Numerical study of optimal control domain decomposition for nonlinear boundary heat in the human eye [Volume 8, Issue 3, 2020, Pages 219-240]
  • Hollow nanostructures Cellular automaton model for substitutional binary diffusion in solids [Volume 8, Issue 1, 2020, Pages 91-104]
  • Hydrodynamic modeling The evolution of the free boundary separating two immiscible viscous fluids in an elastic porous medium [Volume 8, Issue 1, 2020, Pages 71-90]

I

  • Interval arithmetic Inner and outer estimations of the generalized solution sets and an application in economic [Volume 8, Issue 4, 2020, Pages 345-361]

K

  • Kaucher arithmetic Inner and outer estimations of the generalized solution sets and an application in economic [Volume 8, Issue 4, 2020, Pages 345-361]
  • Kirkendall effect Cellular automaton model for substitutional binary diffusion in solids [Volume 8, Issue 1, 2020, Pages 91-104]
  • Krylov subspace methods $2n$-by-$2n$ circulant preconditioner for a kind of spatial fractional diffusion equations [Volume 8, Issue 3, 2020, Pages 207-218]

L

  • Lagrange method Generalized two-parameter estimator in linear regression model [Volume 8, Issue 2, 2020, Pages 157-176]
  • Legendre wavelets Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets [Volume 8, Issue 4, 2020, Pages 435-454]
  • LWR model A macroscopic second order model for air traffic flow [Volume 8, Issue 1, 2020, Pages 41-54]
  • LWR model Vehicular traffic models for speed-density-flow relationship [Volume 8, Issue 3, 2020, Pages 241-255]

M

  • Michaelis-Menten kinetics Numerical simulation of the biosensors in a trigger mode based on Michaelis-Menten enzymatic reaction [Volume 8, Issue 2, 2020, Pages 123-138]
  • Modified secant condition A modified conjugate gradient method based on a modified secant equation [Volume 8, Issue 1, 2020, Pages 1-20]
  • Modified secant equations New nonlinear conjugate gradient methods based on optimal Dai-Liao parameters [Volume 8, Issue 1, 2020, Pages 21-39]

N

  • Newton's second law A macroscopic second order model for air traffic flow [Volume 8, Issue 1, 2020, Pages 41-54]

P

R

  • Rosenbrock method The extended block Arnoldi method for solving generalized differential Sylvester equations [Volume 8, Issue 2, 2020, Pages 189-206]

S

  • Shishkin mesh A fitted mesh method for a coupled system of two singularly perturbed first order differential equations with discontinuous source term [Volume 8, Issue 1, 2020, Pages 55-70]
  • Simulated Annealing A simulated annealing algorithm for the restricted stochastic traveling salesman problem with exponentially distributed arc lengths [Volume 8, Issue 3, 2020, Pages 279-290]
  • Sinc-collocation Solving Bratu's problem by double exponential Sinc method [Volume 8, Issue 4, 2020, Pages 415-433]
  • Sinc-Galerkin Solving Bratu's problem by double exponential Sinc method [Volume 8, Issue 4, 2020, Pages 415-433]
  • Singular perturbation A fitted mesh method for a coupled system of two singularly perturbed first order differential equations with discontinuous source term [Volume 8, Issue 1, 2020, Pages 55-70]
  • Stability Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality [Volume 8, Issue 3, 2020, Pages 257-278]
  • Stability analysis Modeling the spread dynamics of racism in cyberspace [Volume 8, Issue 2, 2020, Pages 105-122]
  • Stability analysis Finite difference method for capillary formation model in tumor angiogenesis [Volume 8, Issue 2, 2020, Pages 177-188]
  • Sufficient descent condition A modified conjugate gradient method based on a modified secant equation [Volume 8, Issue 1, 2020, Pages 1-20]

T

  • Toeplitz matrix $2n$-by-$2n$ circulant preconditioner for a kind of spatial fractional diffusion equations [Volume 8, Issue 3, 2020, Pages 207-218]
  • Travelling salesman problem A simulated annealing algorithm for the restricted stochastic traveling salesman problem with exponentially distributed arc lengths [Volume 8, Issue 3, 2020, Pages 279-290]
  • Tumor angiogenesis Finite difference method for capillary formation model in tumor angiogenesis [Volume 8, Issue 2, 2020, Pages 177-188]

U

  • Unconstrained optimization New nonlinear conjugate gradient methods based on optimal Dai-Liao parameters [Volume 8, Issue 1, 2020, Pages 21-39]