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This book contains several contemporary topics in the areas of
mathematical modelling and computation for complex systems. The
readers find several new mathematical methods, mathematical models
and computational techniques having significant relevance in
studying various complex systems. The chapters aim to enrich the
understanding of topics presented by carefully discussing the
associated problems and issues, possible solutions and their
applications or relevance in other scientific areas of study and
research. The book is a valuable resource for graduate students,
researchers and educators in understanding and studying various new
aspects associated with complex systems. Key Feature * The chapters
include theory and application in a mix and balanced way. * Readers
find reasonable details of developments concerning a topic included
in this book. * The text is emphasized to present in self-contained
manner with inclusion of new research problems and questions.
This book contains several contemporary topics in the areas of
mathematical modelling and computation for complex systems. The
readers find several new mathematical methods, mathematical models
and computational techniques having significant relevance in
studying various complex systems. The chapters aim to enrich the
understanding of topics presented by carefully discussing the
associated problems and issues, possible solutions and their
applications or relevance in other scientific areas of study and
research. The book is a valuable resource for graduate students,
researchers and educators in understanding and studying various new
aspects associated with complex systems. Key Feature * The chapters
include theory and application in a mix and balanced way. * Readers
find reasonable details of developments concerning a topic included
in this book. * The text is emphasized to present in self-contained
manner with inclusion of new research problems and questions.
Heat conduction plays an important role in energy transfer at the
macro, micro and nano scales. This book collates research results
developed by scientists from different countries but with common
research interest in the modelling of heat conduction problems. The
results reported encompass heat conduction problems related to the
Stefan problem, phase change materials related to energy
consumption in buildings, the porous media problem with Bingham
plastic fluids, thermosolutal convection, rewetting problems and
fractional models with singular and non-singular kernels. The
variety of analytical and numerical techniques used includes the
classical heat-balance integral method in its refined version,
double-integration technique and variational formulation applied to
the integer-order and fractional models with memories.This book
cannot present the entire rich area of problems related to heat
conduction, but allows readers to see some new trends and
approaches in the modelling technologies. In this context, the
fractional models with singular and non-singular kernels and the
development of the integration techniques related to the
integral-balance approach form fresh fluxes of ideas to this
classical engineering area of research.The book is oriented to
researchers, masters and PhD students involved in heat conduction
problems with a variety of applications and could serve as a rich
reference source and a collection of texts provoking new ideas.
Diffusion is a principle transport mechanism emerging widely at
different scale, from nano to micro and macro levels. This is a
contributed book of seventh chapters encompassing local and
no-local diffusion phenomena modelled with integer-order (local)
and non-local operators. This book collates research results
developed by scientists from different countries but with common
research interest in modelling of diffusion problems. The results
reported encompass diffusion problems related to efficient
numerical modelling, hypersonic flows, approximate analytical
solutions of solvent diffusion in polymers and wetting of soils.
Some chapters are devoted to fractional diffusion problem with
operators with singular and non-singular memory kernels. The book
content cannot present the entire rich area of problems related to
modelling of diffusion phenomena but allow seeing some new trends
and approaches in the modelling technologies. In this context, the
fractional models with singular and non-singular kernels the
numerical methods and the development of the integration techniques
related to the integral-balance approach form fresh fluxes of ideas
to this classical engineering area of research. The book is
oriented to researchers; master and PhD students involved in
diffusion problems with a variety of application and could serves
as a rich reference source and a collection of texts provoking new
ideas.
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