[PDF] Top 20 A new approach for solving nonlinear system of equations using Newton method and HAM

... Solving algebraic and transcendental equations is an interesting mathemat- ical problem that has been occupied an important place in mathematical history. This problem arises in different applications of ... See full document

... the system of nonlinear equations is ...large system of nonlinear equations, it is not recommendable to use full matrices as a preconditioners and reason is clear, since we get a ... See full document

... introduced Newton iteration as a genetic operators of the algorithm and iteratived the progeny individuals with the probability P, the new iteration value instead of the parent to join their ...to ... See full document

... was using a Cholesky factorization of a moment matrix computed on a data set in some analytical ...the new updated factorization with the new observation without having to re-compute the moment ... See full document

... ent sources with dimension between 1000 and 100,000 with different initial points which is not restricted to a point that is too close to the solution as suggested by Hillstrom [29]. We believe that this approach, ... See full document

... of nonlinear mixed Hammerstein integral ...together Newton-Cotes nodes t p and Newton-Cotes integration formula solution of (1) was converted in a problem of solving a system of ... See full document

... a new way of finding the control parameter in the homotopy analysis method is ...rameter, HAM approximation series leads to exact solu- tion of problems or produces an approximate results which are ... See full document

... The method for solving the problem will be ...a system of equations or to guarantee the existence of a solution (Kahaner, Moler and Nash, ... See full document

... interesting nonlinear elimination algorithm (NE) was intro- duced for solving large sparse nonlinear systems of equations whose solution is badly scaled in part of the computational ... See full document

... developed using several different techniques including Taylor series, quadrature formu- las, homotopy and decomposition techniques, see [ 1, 2, 4, 7, 9-16 ] and the references ...Newton’s method (NM) ... See full document

... for solving a semi-explicit DAE. The approach employed is to firstly solve the system of algebraic equations, and subsequently solve the differential equations using the derived ... See full document

... a new method for computing the projection using implicitly restarted Lanczos method which proved to be very successful in solving nonlinear structural eigensys- tems (see ... See full document

... The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity ...and using ... See full document

... a new approach for solving linear and nonlinear Volterra integral equations (LVIE, NVIE) of the first and the second ...a new problem in calculus of variations, which is ... See full document

... a new fifth-order iterative method to find a simple root of the nonlinear ...solve nonlinear equations have many applications in science and ...classical Newton method and ... See full document

... (FAJH) is comparable with all the methods cited in the above mentioned tables and gives better results even than ninth orders method of Hu et al. [5]. With the help of the technique and idea of this paper, one can ... See full document

... point method for solving nonlinear ...two new algori- thems of convergence order two and ...some nonlinear equations to show the performance and efficiency of our newly developed ... See full document

... the Newton-Steffensen third-order method by central difference quotient, we obtain a new modification of this method free from ...the method obtained preserves their order of convergence, ... See full document

... a system of the lin- ear Volterra integral equations was discussed by Yang et ...integral equations with weakly singular kernel us- ing RKM was investigated in [11, 12, 13], Geng [14] explained how ... See full document

... the nonlinear equations by using a classical method and a powerful ...powerful method known as homotopy continuation method (HCM) is used to solve the problem of classical ...use ... See full document