Through the use of a unique approach, we study fractional Biswas–Milovic model with Kerr and parabolic law nonlinearities in this paper. The Caputo approach is used to take derivative. method employed here homotopy perturbation transform (HPTM), which combines (HPM) Yang (YT). HPTM method, He’s polynomials, transform. polynomial wonderful tool for dealing nonlinear terms. To confirm validity ea...

In this article Optimal Homotopy Asymptotic Method (OHAM) is used for the solution of homogenous advection equations. The accuracy of the method is analyzed by its comparison with exact and Homotopy Perturbation transforms Method (HPTM) solution. The absolute errors and order of approximation presented.

Abstract We propose a new modification of homotopy perturbation method (HPM) called the δ -homotopy transform ( -HPTM). This consists Laplace method, HPM, and control parameter . convergence in this helps adjusting controlling region series solution overcome some limitations HPM HPTM. The -HPTM q-homotopy analysis (q-HATM) are considered to study generalized time-fractional perturbed $(3+1)$ <m...

Here, a new method called Aboodh transform homotopy perturbation method(ATHPM) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and Aboodh transformto investigate some nonlinear partial dierential equations. The nonlinearterms can be handled by the use of homotopy perturbation method. The resultsshow the eciency of this me...

in the present work, a hybrid of fourier transform and homotopy perturbation method is developed for solving the non-homogeneous partial differential equations with variable coefficients. the fourier transform is employed with combination of homotopy perturbation method (hpm), the so called fourier transform homotopy perturbation method (fthpm) to solve the partial differential equations. the c...

In this paper, Elzaki Homotopy Perturbation Method is employed for solving linear and nonlinear differential equations with a variable coffecient. This method is a combination of Elzaki transform and Homotopy Perturbation Method. The aim of using Elzaki transform is to overcome the deficiencies that mainly caused by unsatised conditions in some semi-analytical methods such as Homotopy Perturbat...

in this paper, the homotopy perturbation method (hpm) and elzaki transform is employed to obtain the approximate analytical solution of the sine gorden and the klein gorden equations. the nonlinear terms can be handled by the use of homotopy perturbation method. the proposed homotopy perturbation method is applied to reformulate the first and the second order initial value problems which leads ...

the present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. the proposed scheme is based on laplace transform and new homotopy perturbation methods. the fractional derivatives are considered in caputo sense. to illustrate the ability and reliability of the method some examples are provided. the results ob...

In applied sciences and engineering, partial differential equations (PDE) of integer non-integer order play a crucial role. It can be challenging to determine these equations’ exact solutions. As result, developing numerical approaches obtain precise solutions kinds takes time. The homotopy perturbation transform method (HPTM) Yang decomposition (YTDM) are the subjects several recent findings t...

in this work, we have applied elzaki transform and he&apos;s homotopy perturbation method to solvepartial dierential equation (pdes) with time-fractional derivative. with help he&apos;s homotopy per-turbation, we can handle the nonlinear terms. further, we have applied this suggested he&apos;s homotopyperturbation method in order to reformulate initial value problem. some illustrative examples...