PUBLICACIÓN

An explicit difference method for solving fractional diffusion and diffusion-wave equations in the caputo form

ACCEDER A LA PUBLICACIÓN: Scopus

Murillo J.Q., Yuste S.B.

2011 Journal of Computational and Nonlinear Dynamics

Applied Mathematics (Q2), Control and Systems Engineering (Q1), Mechanical Engineering (Q1)

JCR: 0.827

SJR: 0.807

CITAS

77

DOI

10.1115/1.4002687

EID

2-s2.0-78649924907

ISSN

1555-1415

EISSN

1555-1423

BIBTEX

@article{RID:0610131310207-192, title = {An Explicit Difference Method for Solving Fractional Diffusion and Diffusion-Wave Equations in the Caputo Form}, journal = {Journal of Computational and Nonlinear Dynamics}, year = {2011}, author = {Quintana Murillo, Joaquin and Bravo Yuste, Santos}, volume = {6}, number = {2} }

AUTORES DE LA UEX

Santos Bravo Yuste

OTRAS PUBLICACIONES DE INTERÉS

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Multicomponent Fluid Of Hard Spheres Near A Wall
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Equation Of State Of Nonadditive D-Dimensional Hard-Sphere Mixtures
Pair Correlation Function Of Short-Ranged Square-Well Fluids
Equation Of State Of Nonadditive D-Dimensional Hard-Sphere Mixtures
Pair Correlation Function Of Short-Ranged Square-Well Fluids
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Pair Correlation Function Of Short-Ranged Square-Well Fluids
Trapping Reactions With Subdiffusive Traps And Particles
Trapping Reactions With Subdiffusive Traps And Particles Characterized By Different Anomalous Diffusion Exponents
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Properties Of The Reaction Front In A Reaction-Subdiffusion Process
Some Exact Results For The Trapping Of Subdiffusive Particles In One Dimension
Properties Of The Reaction Front In A Reaction-Subdiffusion Process
Some Exact Results For The Trapping Of Subdiffusive Particles In One Dimension
Reaction Front In An A+b→c Reaction-Subdiffusion Process
Some Exact Results For The Trapping Of Subdiffusive Particles In One Dimension
Reaction Front In An A+b→c Reaction-Subdiffusion Process
Average Shape Of Fluctuations For Subdiffusive Walks
Reaction Front In An A+b→c Reaction-Subdiffusion Process
Average Shape Of Fluctuations For Subdiffusive Walks
Comment On Mean First Passage Time For Anomalous Diffusion
Average Shape Of Fluctuations For Subdiffusive Walks
Comment On Mean First Passage Time For Anomalous Diffusion
Order Statistics Of Rosenstock’s Trapping Problem In Disordered Media
Comment On Mean First Passage Time For Anomalous Diffusion
Order Statistics Of Rosenstock’s Trapping Problem In Disordered Media
Order Statistics Of Rosenstock's Trapping Problem In Disordered Media
Order Statistics Of Rosenstock’s Trapping Problem In Disordered Media
Order Statistics Of Rosenstock's Trapping Problem In Disordered Media
Structure Of Ternary Additive Hard-Sphere Fluid Mixtures
Order Statistics Of Rosenstock's Trapping Problem In Disordered Media
Structure Of Ternary Additive Hard-Sphere Fluid Mixtures
Contact Values Of The Radial Distribution Functions Of Additive Hard-Sphere Mixtures In D Dimensions: A New Proposal
Structure Of Ternary Additive Hard-Sphere Fluid Mixtures
Contact Values Of The Radial Distribution Functions Of Additive Hard-Sphere Mixtures In D Dimensions: A New Proposal
Equation Of State Of Additive Hard-Disk Fluid Mixtures: A Critical Analysis Of Two Recent Proposals
Contact Values Of The Radial Distribution Functions Of Additive Hard-Sphere Mixtures In D Dimensions: A New Proposal
Equation Of State Of Additive Hard-Disk Fluid Mixtures: A Critical Analysis Of Two Recent Proposals
Direct Correlation Functions And Bridge Functions In Additive Hard-Sphere Mixtures
Equation Of State Of Additive Hard-Disk Fluid Mixtures: A Critical Analysis Of Two Recent Proposals
Direct Correlation Functions And Bridge Functions In Additive Hard-Sphere Mixtures
Subdiffusion-Limited Reactions
Direct Correlation Functions And Bridge Functions In Additive Hard-Sphere Mixtures
Subdiffusion-Limited Reactions
Survival Probability And Order Statistics Of Diffusion On Disordered Media
Subdiffusion-Limited Reactions
Survival Probability And Order Statistics Of Diffusion On Disordered Media
Ruido, Más Ruido, Por Favor.
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Ruido, Más Ruido, Por Favor.
Una Función Random Poco Aleatoria
Ruido, Más Ruido, Por Favor.
Una Función Random Poco Aleatoria
Order Statistics Of The Trapping Problem
Una Función Random Poco Aleatoria
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Virial Coefficients And Equations Of State For Mixtures Of Hard Discs, Hard Spheres And Hard Hyperspheres
Order Statistics Of The Trapping Problem
Virial Coefficients And Equations Of State For Mixtures Of Hard Discs, Hard Spheres And Hard Hyperspheres
Subdiffusion-Limited A + A Reactions
Virial Coefficients And Equations Of State For Mixtures Of Hard Discs, Hard Spheres And Hard Hyperspheres
Subdiffusion-Limited A + A Reactions
Multiparticle Trapping Problem In The Half-Line
Subdiffusion-Limited A + A Reactions
Multiparticle Trapping Problem In The Half-Line
Order Statistics For D-Dimensional Diffusion Processes
Multiparticle Trapping Problem In The Half-Line
Order Statistics For D-Dimensional Diffusion Processes
Order Statistics Of The Trapping Problem
Order Statistics For D-Dimensional Diffusion Processes
Order Statistics Of The Trapping Problem
Territory Covered By N Random Walkers On Fractal Media: The Sierpinski Gasket And The Percolation Aggregate
Order Statistics Of The Trapping Problem
Territory Covered By N Random Walkers On Fractal Media: The Sierpinski Gasket And The Percolation Aggregate
Subdiffusion-Limited A + A Reactions
Territory Covered By N Random Walkers On Fractal Media: The Sierpinski Gasket And The Percolation Aggregate
Subdiffusion-Limited A + A Reactions
Diffusion Of A Set Of Random Walkers In Euclidean Media. First Passage Times
Subdiffusion-Limited A + A Reactions
Diffusion Of A Set Of Random Walkers In Euclidean Media. First Passage Times
Number Of Distinct Sites Visited By N Random Walkers On A Euclidean Lattice
Diffusion Of A Set Of Random Walkers In Euclidean Media. First Passage Times
Number Of Distinct Sites Visited By N Random Walkers On A Euclidean Lattice
Demixing In Binary Mixtures Of Hard Hyperspheres
Number Of Distinct Sites Visited By N Random Walkers On A Euclidean Lattice
Demixing In Binary Mixtures Of Hard Hyperspheres
Direct Correlation Functions And Bridge Functions In Additive Hard-Sphere Mixtures
Demixing In Binary Mixtures Of Hard Hyperspheres
Direct Correlation Functions And Bridge Functions In Additive Hard-Sphere Mixtures
Territory Covered By N Random Walkers
Direct Correlation Functions And Bridge Functions In Additive Hard-Sphere Mixtures
Territory Covered By N Random Walkers
Equation Of State Of A Multicomponent D-Dimensional Hard-Sphere Fluid
Territory Covered By N Random Walkers
Equation Of State Of A Multicomponent D-Dimensional Hard-Sphere Fluid
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Equation Of State Of A Multicomponent D-Dimensional Hard-Sphere Fluid
Demonstration Of A Conjecture For Random Walks In D-Dimensional Sierpinski Fractals
Equation Of State Of A Multicomponent D-Dimensional Hard-Sphere Fluid
Demonstration Of A Conjecture For Random Walks In D-Dimensional Sierpinski Fractals
Short-Time Regime Propagator In Fractals
Demonstration Of A Conjecture For Random Walks In D-Dimensional Sierpinski Fractals
Short-Time Regime Propagator In Fractals
Order Statistics Of Diffusion On Fractals
Short-Time Regime Propagator In Fractals
Order Statistics Of Diffusion On Fractals
Is There A Glass Transition For Dense Hard-Sphere Systems?
Order Statistics Of Diffusion On Fractals
Is There A Glass Transition For Dense Hard-Sphere Systems?
Radial Distribution Functions For A Multicomponent System Of Sticky Hard Spheres
Is There A Glass Transition For Dense Hard-Sphere Systems?
Radial Distribution Functions For A Multicomponent System Of Sticky Hard Spheres
A Student-Oriented Derivation Of A Reliable Equation Of State For A Hard-Disc Fluid
Radial Distribution Functions For A Multicomponent System Of Sticky Hard Spheres
A Student-Oriented Derivation Of A Reliable Equation Of State For A Hard-Disc Fluid
Structure Of Multi-Component Hard-Sphere Mixtures
A Student-Oriented Derivation Of A Reliable Equation Of State For A Hard-Disc Fluid
Structure Of Multi-Component Hard-Sphere Mixtures
Escape Times Of J Random Walkers From A Fractal Labyrinth
Structure Of Multi-Component Hard-Sphere Mixtures
Escape Times Of J Random Walkers From A Fractal Labyrinth
Order Statistics For First Passage Times In One-Dimensional Diffusion Processes
Escape Times Of J Random Walkers From A Fractal Labyrinth
Order Statistics For First Passage Times In One-Dimensional Diffusion Processes
Structure Of Hard-Sphere Metastable Fluids
Order Statistics For First Passage Times In One-Dimensional Diffusion Processes
Structure Of Hard-Sphere Metastable Fluids
First-Passage Time, Survival Probability And Propagator On Deterministic Fractals
Structure Of Hard-Sphere Metastable Fluids
First-Passage Time, Survival Probability And Propagator On Deterministic Fractals
An Accurate And Simple Equation Of State For Hard Disks
First-Passage Time, Survival Probability And Propagator On Deterministic Fractals
An Accurate And Simple Equation Of State For Hard Disks
A Model For The Structure Of Square-Well Fluids
An Accurate And Simple Equation Of State For Hard Disks
A Model For The Structure Of Square-Well Fluids
Radial Distribution Function For Sticky Hard-Core Fluids
A Model For The Structure Of Square-Well Fluids
Radial Distribution Function For Sticky Hard-Core Fluids
Sticky Hard Spheres Beyond The Percus-Yevick Approximation
Radial Distribution Function For Sticky Hard-Core Fluids
Sticky Hard Spheres Beyond The Percus-Yevick Approximation
A Heuristic Radial Distribution Function For Hard Disks
Sticky Hard Spheres Beyond The Percus-Yevick Approximation
A Heuristic Radial Distribution Function For Hard Disks
Energy Levels Of The Quartic Double Well Using A Phase-Integral Method
A Heuristic Radial Distribution Function For Hard Disks
Energy Levels Of The Quartic Double Well Using A Phase-Integral Method
Quasi-Pure-Cubic Oscillators Studied Using A Krylov-Bogoliubov Method
Energy Levels Of The Quartic Double Well Using A Phase-Integral Method
Quasi-Pure-Cubic Oscillators Studied Using A Krylov-Bogoliubov Method
Cubication Of Non-Linear Oscillators Using The Principle Of Harmonic Balance
Quasi-Pure-Cubic Oscillators Studied Using A Krylov-Bogoliubov Method
Cubication Of Non-Linear Oscillators Using The Principle Of Harmonic Balance
Generalized Bohr-Sommerfeld Rule For Quartic Oscillators
Cubication Of Non-Linear Oscillators Using The Principle Of Harmonic Balance
Generalized Bohr-Sommerfeld Rule For Quartic Oscillators
On A New Criterion For Evaluating The Stability Of The Limit Cycles Of Perturbed Duffing Oscillators
Generalized Bohr-Sommerfeld Rule For Quartic Oscillators
On A New Criterion For Evaluating The Stability Of The Limit Cycles Of Perturbed Duffing Oscillators
Radial Distribution Function For Hard Spheres
On A New Criterion For Evaluating The Stability Of The Limit Cycles Of Perturbed Duffing Oscillators
Radial Distribution Function For Hard Spheres
Comments On The Method Of Harmonic Balance In Which Jacobi Elliptic Functions Are Used
Radial Distribution Function For Hard Spheres
Comments On The Method Of Harmonic Balance In Which Jacobi Elliptic Functions Are Used
On Duffing Oscillators With Slowly Varying Parameters
Comments On The Method Of Harmonic Balance In Which Jacobi Elliptic Functions Are Used
On Duffing Oscillators With Slowly Varying Parameters
Improvement Of A Krylov-Bogoliubov Method That Uses Jacobi Elliptic Functions
On Duffing Oscillators With Slowly Varying Parameters
Improvement Of A Krylov-Bogoliubov Method That Uses Jacobi Elliptic Functions
A Weighted Mean-Square Method Of Cubication For Non-Linear Oscillators
Improvement Of A Krylov-Bogoliubov Method That Uses Jacobi Elliptic Functions
A Weighted Mean-Square Method Of Cubication For Non-Linear Oscillators
The Rayleigh Method With Jacobi Elliptic Functions
A Weighted Mean-Square Method Of Cubication For Non-Linear Oscillators
The Rayleigh Method With Jacobi Elliptic Functions
A Generalized Galerkin Method For Cubic Oscillators
The Rayleigh Method With Jacobi Elliptic Functions
A Generalized Galerkin Method For Cubic Oscillators
Extension And Improvement To The Krylov-Bogoliubov Methods Using Elliptic Functions
A Generalized Galerkin Method For Cubic Oscillators
Extension And Improvement To The Krylov-Bogoliubov Methods Using Elliptic Functions
Generalized Fourier Series For The Study Of Limit Cycles
Extension And Improvement To The Krylov-Bogoliubov Methods Using Elliptic Functions
Generalized Fourier Series For The Study Of Limit Cycles
Amplitude Decay Of Damped Non-Linear Oscillators Studied With Jacobian Elliptic Functions
Generalized Fourier Series For The Study Of Limit Cycles
Amplitude Decay Of Damped Non-Linear Oscillators Studied With Jacobian Elliptic Functions
Construction Of Approximate Analytical Solutions To A New Class Of Non-Linear Oscillator Equations
Amplitude Decay Of Damped Non-Linear Oscillators Studied With Jacobian Elliptic Functions
Construction Of Approximate Analytical Solutions To A New Class Of Non-Linear Oscillator Equations
Discontinuous Structural Transitions In Fluids With Competing Interactions
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