[PDF] Top 20 Solving the non linear system of third order boundary value problems by using He's homotopy perturbation method

... The non-linear dierential equations are generally dicult to solve and their exact solu- tions are dicult to obtain, therefore, some various approximate method recently have been developed, such as ... See full document

... the boundary of the domain Ω and denotes directionalderivative in outward normal direction to ...is linear, while is nonlinear.Using  =  + , ... See full document

... Homotopy perturbation method is involved many non linear problems in Engineering sciences and Applied sciences [4, ...This Homotopy perturbation method is ... See full document

... Integral-differential equations appear in many scientific applications, especially when we convert initial value problems or boundary value problems to integral equations. The ... See full document

... parameter method for solving the seventh-order boundary value problems in ...and non polynomial spline technique for the numerical solution of eighth-order ... See full document

... By solving this boundary value problem by the homotopy perturbation method, we obtain an approximate or exact solution u(x, ...operator S defined in the following ... See full document

... ear problems are generally difficult and achiev- ing their exact solutions are hard, various ap- proximate methods have been developed to solve ...the homotopy pertur- bation method HPM for ... See full document

... analytic method for nonlinear problem, namely the homotopy perturbation ...the boundary value problems has been obtained in term of convergent series with easily computable ... See full document

... “Homotopy perturbation technique for solving two-point boundary value problems – comparison with other methods”, ...“Homotopy perturbation method and Padé ... See full document

... [14] Homotopy perturbation method applied to solve variational problems with fixed ...variational problems with moving boundaries problems can be obtained by Homotopy per- ... See full document

... transfer problems which are known to arise in a variety of physical phenomenon and applied sciences [1, ...4]. He [5-20] developed the variational iteration and homotopy perturbation methods ... See full document

... of boundary value problems arise in the mathematical modeling of the viscoelastic flows and other branches of mathematical, physical and engineer- ing sciences, the approximate solutions of these ... See full document

... The homotopy perturbation method (HPM) was also investigated by many researchers to handle partial differential equations arising in science and engineering [20] ...a method is homotopy ... See full document

... transform method for solving various types of nonlinear wave- like equations with variable coe¢ cients and we compare the approximate analytical solution obtained for our nonlinear wave-like problems ... See full document

... In Table 1 show a comparison of the numerical results applying the HAM ( m = 15 ), Iteration of the Integral Equation (IIE) (3.9), and the numerical solu- tion of (3.9) with Simpson rule (SIMP) with the exact solution ... See full document

... in Problems 3 and 4 of validates the accuracy of the VHPM method for problems without known exactly solutions that have been advanced for solving Riccati equation shows that the new technique ... See full document

... the value of the con- centration of substrate u slightly decreases from its initial value  u   0  1  , and there are a few changes in the value of the concentration of the enzyme-substrate com- ... See full document

... tensively studied over a number of years and successfully developed by numerous authors (e.g. [7-26] to mention only a few). As well known, this method is a combina- tion of homotopy in topology and classic ... See full document

... requires that the difference approximations be used for approximating both y and y. To accomplish this, we select an integer N > 0 and divide the interval [a, b] into N + 1 equal subintervals, whose end points are ... See full document

...   . It is assumed the control is bounded, that is, a closed, bounded, subset of exists, such that the control function takes its values form U . The input u t   can be derived by mi- nimizing the quadratic ... See full document