reduced differential transform method (rdtm) is applied to various wave equations. to assessthe accuracy of the solutions, we compare the results with the exact solutions and variational iteration method.the results reveal that the rdtm is very effective, convenient and quite accurate to systems of nonlinearequations.

in this paper, a numerical efficient method is proposed for the solution of time fractionalmobile/immobile equation. the fractional derivative of equation is described in the caputosense. the proposed method is based on a finite difference scheme in time and legendrespectral method in space. in this approach the time fractional derivative of mentioned equationis approximated by a scheme of order o...

this paper has been devoted to apply the reconstruction of variational iteration method (rvim) to handle the systems of integro-differential equations. rvim has been induced with laplace transform from the variational iteration method (vim) which was developed from the inokuti method. actually, rvim overcome to shortcoming of vim method to determine the lagrange multiplier. so that, rvim method...

cohesive sediment transport remains a complicated subject that hydraulic engineers are frequently faced with in water-related engineering problems. this is primarily affected by the macroscopic aspects of water-sediment system characteristics. in this paper a 1-d mathematical model was developed to be employed in predicting the cohesive sediment transport under simultaneous conditions of erosio...

this paper studies the biswas-milovic equation with log law nonlinearity. thegausson solution is obtained by the ansatz method. subsequently, theconservation laws are derived and the conserved quantities are computed usingthe gausson solution.

A new discretization method for solving population balance equations for simultaneous nucleation, growth and aggregation of particles is proposed. The method combines the best features of our discretization technique (Kumar and Ramkrishna, 1996, Chem. Engng. Sci. 51, 1311-1337), i.e., designing discrete equations to obtain desired properties of a size distribution directly, applicability to an ...

The object of this work is solubility correlation and prediction of CO2 and H2S in various aqueous alkanolamines using the electrolyte cubic square-well equation of state (eCSW EoS) (Haghtalab, A.,Mazloumi, S. H., (2010), Electrolyte Cubic Square-Well Equation of State for Computation of the Solubility CO2 and H2S in Aqueous MDEA Solutions,  Ind. Eng. Chem. Res.,49,6221-623). The eEoS systemati...

This paper presents a novel method for atmospheric transmittance-temperature-emissivity separation (AT2ES) using online midwave infrared hyperspectral images. Conventionally, temperature and emissivity (TES) is well-known problem in the remote sensing domain. However, previous approaches use correction process before TES MODTRAN long wave band. Simultaneous starts with approximation of radiativ...