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On The Exact Solution of Newell-Whitehead-Segel Equation Using the Homotopy Perturbation Method
In the present work, we use the homotopy perturbation method (HPM) to solve the Newell- Whitehead-Segel non-linear differential equations. Four case study problems of Newell-Whitehead- Segel areExpand
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On the Hybrid of Fourier Transform and Adomian Decomposition Method for the Solution of Nonlinear Cauchy Problems of the Reaction-Diffusion Equation
The physical science importance of the Cauchy problem of the reaction-diffusion equation appears in the modelling of a wide variety of nonlinear systems in physics, chemistry, ecology, biology, andExpand
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Analytical Solution of the Problem on the Three-Dimensional Transient Heat Conduction in a Multilayer Cylinder
An exact analytical solution of the problem on the three-dimensional transient heat conduction in a cylinder with multiple radial layers, in which time-dependent, spatially non-uniform internalExpand
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Entropy analysis for magnetohydrodynamic flow and heat transfer of a Jeffrey nanofluid over a stretching sheet
Entropy generation for steady laminar two-dimensional forced convection magnetohydrodynamic (MHD) boundary layer flow, heat transfer and mass transfer of an incompressible non-Newtonian nanofluidExpand
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On the expedient solution of the magneto-hydrodynamic Jeffery-Hamel flow of Casson fluid
The equation of magneto-hydrodynamic Jeffery-Hamel flow of non-Newtonian Casson fluid in a stretching/shrinking convergent/divergent channel is derived and solved using a new modified AdomianExpand
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A new modification to homotopy perturbation method combined with Fourier transform for solving nonlinear Cauchy reaction diffusion equation
A hybrid of Fourier transform and new modified homotopy perturbation method based on the Adomian method is developed to solve linear and nonlinear partial differential equations. The Taylor seriesExpand
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Effect of trapped electron on the dust ion acoustic waves in dusty plasma using time fractional modified Korteweg-de Vries equation
The time fractional modified Korteweg-de Vries (TFMKdV) equation is solved to study the nonlinear propagation of small but finite amplitude dust ion-acoustic (DIA) solitary waves in un-magnetizedExpand
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Numerical simulation of a binary gas flow inside a rotating cylinder
A new approach to calculate the axially symmetric binary gas flow is proposed. Dalton’s law for partial pressures contributed by each species of a binary gas mixture (argon and helium) isExpand
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Solution of the boundary layer flow of various nanofluids over a moving semi-infinite plate using HPM
Two-dimensional steady boundary layer flow of nanofluids over a moving impermeable semi-infinite hori-zontal plate is studied. The plate moves with constant ve-locity. Similarity transformation isExpand
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A new scheme developed for the numerical simulation of the Boltzmann equation using the direct simulation monte-carlo scheme for the flow about a sphere
A new scheme, the modified direct simulation Monte-Carlo (MDSMC), for the numerical simulation of the Boltzmann equation for rarefied gas flow about a sphere is developed. The Taylor series expansionExpand
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