Applications of Partial Differential Equations

Partial differential equations are indispensable for modeling various phenomena and processes, such as those in physics, biology, finance, and engineering. Finding solutions to partial differential equations using qualitative theories or quantitative methods, as well as the application of such inves...

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प्रकाशित: MDPI - Multidisciplinary Digital Publishing Institute 2024
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collection Directory of Open Access Books
description Partial differential equations are indispensable for modeling various phenomena and processes, such as those in physics, biology, finance, and engineering. Finding solutions to partial differential equations using qualitative theories or quantitative methods, as well as the application of such investigations to real-world problems, has drawn a large amount of interest from researchers. This reprint encompasses all the articles that were accepted and published in this Special Issue titled "Applications of Partial Differential Equations ". We hope that these accepted and published papers will be impactful and motivate future research on partial differential equations for solving complex problems in various fields, disciplines, and applications.
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language eng
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publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-1323552024-03-28T03:32:21Z Applications of Partial Differential Equations Wong, Patricia J. Y. non-linear optimal control stratified fluids energy functional optimal condition state variable travelling waves Eyring–Powell geometric perturbation nonlinear reaction–diffusion unsteady flow C∞-semigroups analytic semigroups Fourier multipliers Λ-ellipticity fractional Zakharov system stochastic Zakharov system Riccati–Bernoulli sub-ODE method Jacobi elliptic function method generalized fractional derivative time-diffusion problem generalized linear interpolation numerical scheme backward nonlocal wave equation Pascal bases automatically satisfying specified conditions integral boundary condition nonlocal boundary shape function delay differential equations 2D parabolic equations fractional step method convection diffusion problems shallow water flow Faedo–Galerkin method feedback control PDE’s stabilization tuberculosis COVID-19 diffusion coinfection stability singularly perturbed problem parabolic differential equation convection–diffusion problem line discontinuous source term streamline–diffusion finite element method Shishkin mesh uniformly convergent diffusion equations traveling waves phototaxis bacterial motion biological aggregation chemotaxis model integral inequality global uniform boundedness CNL-GZE lump-type solitons rogue wave appropriate transformation technique optimal decay viscoelastic wave equation nonlinear time-varying delay nonlinear damping acoustic boundary conditions thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Partial differential equations are indispensable for modeling various phenomena and processes, such as those in physics, biology, finance, and engineering. Finding solutions to partial differential equations using qualitative theories or quantitative methods, as well as the application of such investigations to real-world problems, has drawn a large amount of interest from researchers. This reprint encompasses all the articles that were accepted and published in this Special Issue titled "Applications of Partial Differential Equations ". We hope that these accepted and published papers will be impactful and motivate future research on partial differential equations for solving complex problems in various fields, disciplines, and applications. 2024-01-08T14:38:22Z 2024-01-08T14:38:22Z 2023 book ONIX_20240108_9783036595641_14 9783036595641 9783036595658 https://directory.doabooks.org/handle/20.500.12854/132355 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/8359 https://mdpi.com/books/pdfview/book/8359 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-9565-8 10.3390/books978-3-0365-9565-8 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036595641 9783036595658 274 Basel open access
spellingShingle non-linear optimal control
stratified fluids
energy functional
optimal condition
state variable
travelling waves
Eyring–Powell
geometric perturbation
nonlinear reaction–diffusion
unsteady flow
C∞-semigroups
analytic semigroups
Fourier multipliers
Λ-ellipticity
fractional Zakharov system
stochastic Zakharov system
Riccati–Bernoulli sub-ODE method
Jacobi elliptic function method
generalized fractional derivative
time-diffusion problem
generalized linear interpolation
numerical scheme
backward nonlocal wave equation
Pascal bases automatically satisfying specified conditions
integral boundary condition
nonlocal boundary shape function
delay differential equations
2D parabolic equations
fractional step method
convection diffusion problems
shallow water flow
Faedo–Galerkin method
feedback control
PDE’s stabilization
tuberculosis
COVID-19
diffusion
coinfection
stability
singularly perturbed problem
parabolic differential equation
convection–diffusion problem
line discontinuous source term
streamline–diffusion finite element method
Shishkin mesh
uniformly convergent
diffusion equations
traveling waves
phototaxis
bacterial motion
biological aggregation
chemotaxis model
integral inequality
global uniform boundedness
CNL-GZE
lump-type solitons
rogue wave
appropriate transformation technique
optimal decay
viscoelastic wave equation
nonlinear time-varying delay
nonlinear damping
acoustic boundary conditions
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Applications of Partial Differential Equations
title Applications of Partial Differential Equations
title_full Applications of Partial Differential Equations
title_fullStr Applications of Partial Differential Equations
title_full_unstemmed Applications of Partial Differential Equations
title_short Applications of Partial Differential Equations
title_sort applications of partial differential equations
topic non-linear optimal control
stratified fluids
energy functional
optimal condition
state variable
travelling waves
Eyring–Powell
geometric perturbation
nonlinear reaction–diffusion
unsteady flow
C∞-semigroups
analytic semigroups
Fourier multipliers
Λ-ellipticity
fractional Zakharov system
stochastic Zakharov system
Riccati–Bernoulli sub-ODE method
Jacobi elliptic function method
generalized fractional derivative
time-diffusion problem
generalized linear interpolation
numerical scheme
backward nonlocal wave equation
Pascal bases automatically satisfying specified conditions
integral boundary condition
nonlocal boundary shape function
delay differential equations
2D parabolic equations
fractional step method
convection diffusion problems
shallow water flow
Faedo–Galerkin method
feedback control
PDE’s stabilization
tuberculosis
COVID-19
diffusion
coinfection
stability
singularly perturbed problem
parabolic differential equation
convection–diffusion problem
line discontinuous source term
streamline–diffusion finite element method
Shishkin mesh
uniformly convergent
diffusion equations
traveling waves
phototaxis
bacterial motion
biological aggregation
chemotaxis model
integral inequality
global uniform boundedness
CNL-GZE
lump-type solitons
rogue wave
appropriate transformation technique
optimal decay
viscoelastic wave equation
nonlinear time-varying delay
nonlinear damping
acoustic boundary conditions
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
topic_facet non-linear optimal control
stratified fluids
energy functional
optimal condition
state variable
travelling waves
Eyring–Powell
geometric perturbation
nonlinear reaction–diffusion
unsteady flow
C∞-semigroups
analytic semigroups
Fourier multipliers
Λ-ellipticity
fractional Zakharov system
stochastic Zakharov system
Riccati–Bernoulli sub-ODE method
Jacobi elliptic function method
generalized fractional derivative
time-diffusion problem
generalized linear interpolation
numerical scheme
backward nonlocal wave equation
Pascal bases automatically satisfying specified conditions
integral boundary condition
nonlocal boundary shape function
delay differential equations
2D parabolic equations
fractional step method
convection diffusion problems
shallow water flow
Faedo–Galerkin method
feedback control
PDE’s stabilization
tuberculosis
COVID-19
diffusion
coinfection
stability
singularly perturbed problem
parabolic differential equation
convection–diffusion problem
line discontinuous source term
streamline–diffusion finite element method
Shishkin mesh
uniformly convergent
diffusion equations
traveling waves
phototaxis
bacterial motion
biological aggregation
chemotaxis model
integral inequality
global uniform boundedness
CNL-GZE
lump-type solitons
rogue wave
appropriate transformation technique
optimal decay
viscoelastic wave equation
nonlinear time-varying delay
nonlinear damping
acoustic boundary conditions
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
url ONIX_20240108_9783036595641_14