... by: Based on these advancements, this work aims to investigate further the interaction between biothermoelastic and diffusion in biological tissue using the Laplace transforms and eigenvalue techniques. Temperature, chemical potential, displacement, concentration and stress are computed and analyzed through...

.... Design/methodology/approach The principle of scaling analysis is used to reformulate the governing equations into a dimensionless partial differential equations (PDEs). Moreover, the PDEs are analytically solved by the application of Laplace transformation, and the impact of physical parameters...

... a fractional order of heat transport to address this issue. Design/methodology/approach The employment of the matrix exponential method, which forms the basis of the state-space approach in contemporary theory, is central to this strategy. The resulting formulation, together with the Laplace transform...

... show that the proposed approach is highly authentic and reliable for the fractional-order models. Design/methodology/approach The Laplace transform residual power series method (ℒT-RPSM) is the combination of Laplace transform (ℒT) and residual power series method (RPSM). The ℒT is examined...

... on linear coupled and generalized theories of thermo-viscoelasticity may be easily established. Laplace transforms and state–space approach will be used to determine the generic solution when any set of boundary conditions exists. The derived formulation is used to two concrete different problems...

... d τ ,   r − 1 < γ < r , ∂ r h ( x , t ) ∂ t r ,   γ = r ∈ N Definition 4. If h ( t ) = t γ , then Laplace transform is as follows: Muhammad Nadeem can be contacted at: nadeem@mail.dlut.edu.cn 07 02...

... solution. The derived results demonstrate that this scheme is very effective. Finally, the convergence of this method is discussed. Findings A traditional method is combined with the Laplace transform to construct this scheme. To decompose the nonlinear terms, this paper introduces the homotopy...

...Ji-Huan He; Habibolla Latifizadeh Purpose The purpose of this paper is to suggest a general numerical algorithm for nonlinear problems by the variational iteration method (VIM). Design/methodology/approach Firstly, the Laplace transform technique is used to reconstruct the variational...

... by these genes forms the vector x as (see equation 5) x_i being +1 or –1, and n is the number of nodes of the graph. © MCB UP Limited 2001 Graph theory Algebraic model Laplace transform Genetic algorithms Parallel processing provides considerable computational power...

.... (8) where the functions γ₁(p) and γ₂(p) can be obtained from the boundary condition in equations (4) and (6). Therefore, the Laplace transform of the change in the surface temperature of the particle can be written as: (9) The final form...