Edit Profile (opens in new tab) Cherruault, Yves Compute Distance To: Compute Author ID: cherruault.yves Published as: Cherruault, Y.; Cherruault, Yves Documents Indexed: 153 Publications since 1965, including 4 Books 2 Contributions as Editor Reviewing Activity: 484 Reviews Co-Authors: 73 Co-Authors with 121 Joint Publications 592 Co-Co-Authors all top 5 Co-Authors 33 single-authored 16 Abbaoui, Karim 16 Mora, Gaspar 11 Guillez, Arthur 8 Inc, Mustafa 7 Ziadi, Abdelkader 6 Benabidallah, Abdelkader 6 Benneouala, Titem 6 Hebri, Belkhaled 6 Konfe, Balira O. 6 Some, Blaise 5 Guellal, Saïd 5 Karpouzas, Ioanis 5 Manseur, Salah 4 Khelifa, Salim 4 Tourbier, Yves 3 Ben Zitoun, Feyed 3 Benabidallah, Mohamed 3 Grimalt, Pedro 3 Himoun, N. 3 Mavoungou, Théophile 3 Meulemans, Alain 3 Prost, J. F. 3 Sarin, V. B. 3 Seng, Virginie 3 Zaidi, Z. 2 Adomian, George 2 Ammar, Hamadi 2 Bezerra, Silvio Jose 2 Caron, Armand 2 Choubane, Mohammed 2 Loridan, Pierre 2 Pujol, María José 2 Valleton, Jean-Marc 2 Vincent, Jean-Claude 1 Attalah, Karima 1 Azancot-Benisty, A. 1 Badredine, Toufik 1 Bektaş, Mehmet 1 Bellagoun, A. 1 Benabidalla, A. 1 Bendiab, O. 1 Bernard-Weil, Elie 1 Bezzina, M. 1 Brocas, Jean 1 Challier, J. C. 1 Dachraoui, T. 1 Ergut, Mahmut 1 Fery, J. J. 1 Fourcade, J. 1 Fromageot, C. 1 Guerret, M. 1 Guettal, Djaouida 1 Guettouche, A. 1 Karpouzas, Y. 1 Khelladi, Samia 1 Lavigne, Denis 1 Maimos, Mahamat 1 Mampassi, Benjamin 1 Marcassa, F. 1 Massamba, Ange-gar S. Nkokolo 1 Mazza, Jean Claude 1 Messaoudi, Nadia Amel 1 Nagarhasta, N. 1 Ndour, Macoumba 1 Ouedraogo, R. Z. 1 Papapanayotou, C. 1 Reiss, Claude 1 Saccomandi, Giuseppe 1 Saley, Bisso 1 Twizell, E. H. 1 Ubeda, J. I. 1 Veron, G. 1 Yıldırım, Ahmet all top 5 Serials 90 Kybernetes 19 Mathematical and Computer Modelling 7 Computers & Mathematics with Applications 3 RAIRO. Recherche Opérationnelle 3 Mathematical Modelling 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Journal of Mathematical Analysis and Applications 2 Rendiconti di Matematica, VI. Serie 1 Cybernetica 1 Calcolo 1 Acta Applicandae Mathematicae 1 Proceedings of the Indian National Science Academy. Part A. Physical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Mathematical Modelling and Analysis 1 Revue du CETHEDEC 1 Revue Française d’Informatique et de Recherche Opérationnelle all top 5 Fields 73 Numerical analysis (65-XX) 46 Biology and other natural sciences (92-XX) 38 Operations research, mathematical programming (90-XX) 34 Systems theory; control (93-XX) 19 Partial differential equations (35-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 14 Ordinary differential equations (34-XX) 10 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 4 Real functions (26-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 105 Publications have been cited 1,964 times in 816 Documents Cited by ▼ Year ▼ Convergence of Adomian’s method. Zbl 0697.65051Cherruault, Yves 254 1989 Decomposition methods: A new proof of convergence. Zbl 0805.65057Cherruault, Y.; Adomian, G. 208 1993 Convergence of Adomian’s method applied to differential equations. Zbl 0809.65073Abbaoui, K.; Cherruault, Y. 187 1994 New ideas for proving convergence of decomposition methods. Zbl 0832.47051Abbaoui, K.; Cherruault, Y. 143 1995 New results for convergence of Adomian’s method applied to integral equations. Zbl 0756.65083Cherruault, Y.; Saccomandi, G.; Some, B. 126 1992 Convergence of Adomian’s method applied to nonlinear equations. Zbl 0822.65027Abbaoui, K.; Cherruault, Y. 98 1994 Practical formulae for the calculus of multivariable Adomian polynomials. Zbl 0830.65010Abbaoui, K.; Cherruault, Y.; Seng, V. 76 1995 New numerical study of Adomian method applied to a diffusion model. Zbl 1011.65073Nagarhasta, N.; Some, B.; Abbaoui, K.; Cherruault, Y. 49 2002 Adomian’s polynomials for nonlinear operators. Zbl 0855.47041Seng, V.; Abbaoui, K.; Cherruault, Y. 48 1996 Characterization and generation of \(\alpha\)-dense curves. Zbl 0893.90177Mora, G.; Cherruault, Y. 46 1997 Convergence of Adomian’s method. Zbl 0728.65056Cherruault, Y. 36 1990 Numerical study of Fisher’s equation by Adomian’s method. Zbl 0799.65099Mavoungou, T.; Cherruault, Y. 35 1994 The decomposition method applied to the Cauchy problem. Zbl 0937.65074Abbaoui, K.; Cherruault, Y. 34 1999 Convergence of Adomian’s method and applications to non-linear partial differential equations. Zbl 0801.35007Mavoungou, Théophile; Cherruault, Yves 34 1992 A new formulation of Adomian method convergenc result. Zbl 0994.65064Abbaoui, K.; Pujol, M. J.; Cherruault, Y.; Himoun, N.; Grimalt, P. 33 2001 New results of convergence of Adomian’s method. Zbl 0938.93019Himoun, N.; Abbaoui, K.; Cherruault, Y. 30 1999 Convergence of Adomian’s method applied to integral equations. Zbl 0938.93023Badredine, T.; Abbaoui, K.; Cherruault, Y. 20 1999 Numerical study of Lorenz’s equation by the Adomian method. Zbl 0869.65044Guellal, S.; Grimalt, P.; Cherruault, Y. 19 1997 Approximation of a several variables function by a one variable function and application to global optimization. Zbl 0797.41029Ammar, H.; Cherruault, Y. 18 1993 Optimization. Local and global methods. (Optimisation. Méthodes locales et globales.) Zbl 0928.49001Cherruault, Yves 17 1999 Generation of \(\alpha\)-dense curves and application to global optimization. Zbl 0978.90090Ziadi, A.; Cherruault, Y. 17 2000 Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method. Zbl 1192.65115Yildirim, Ahmet; Cherruault, Yves 17 2009 Global optimization: A new variant of the Alienor method. Zbl 0980.90069Ziadi, A.; Cherruault, Y.; Mora, G. 16 2001 Functional equations generating space-densifying curves. Zbl 0954.39016Mora, G.; Cherruault, Y.; Ziadi, A. 16 2000 A new method for global optimisation (Alienor). Zbl 0701.90083Cherruault, Y. 16 1990 Application of the Adomian method for solving a class of boundary problems. Zbl 1058.65075Benabidallah, Mohamed; Cherruault, Yves 15 2004 Generation of \(\alpha\)-dense curves in a cube of \(\mathbb{R}^n\). Zbl 0933.65067Ziadi, A.; Cherruault, Y. 15 1998 Models and methods for life sciences. (Modèles et méthodes pour les sciences du vivant.) Zbl 0929.92003Cherruault, Yves 15 1998 Global optimization in biology and medicine. Zbl 0808.92001Cherruault, Y. 13 1994 Application of the decomposition method to identify the distributed parameters of an elliptical equation. Zbl 0822.65120Guellal, S.; Cherruault, Y. 13 1995 The resolution of nonlinear integral equations of the first kind using the decompositional method of Adomian. Zbl 0932.65142Cherruault, Yves; Seng, Virginie 13 1997 The theoretic calculation time associated to \(\alpha\)-dense curves. Zbl 0935.65068Mora, Gaspar; Cherruault, Yves 12 1998 An approximation method for the optimization of continuous functions of \(n\) variables by densifying their domains. Zbl 0936.65068Mora, Gaspar; Cherruault, Yves 11 1999 The decomposition method applied to differential systems. Zbl 0932.65081Abbaoui, K.; Cherruault, Y.; Ndour, M. 11 1995 New results for the Adomian method. Zbl 0965.65087Khelifa, S.; Cherruault, Y. 11 2000 A new approach to solve a diffusion-convection problem. Zbl 1015.65053Inc, M.; Cherruault, Y. 10 2002 A different approach for solving singular two-point boundary value problems. Zbl 1117.65348Inc, M.; Ergüt, M.; Cherruault, Y. 10 2005 Convergence of Adomian’s method applied to algebraic equations. Zbl 0994.65054Ouedraogo, R. Z.; Cherruault, Y.; Abbaoui, K. 9 2000 Global optimization-preserving operators. Zbl 1063.90043Mora, G.; Cherruault, Y.; Benabidallah, A. 9 2003 Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson). Zbl 0711.65071Cherruault, Y.; Choubane, M.; Valleton, J. M.; Vincent, J. C. 8 1990 New results on Adomian method. Zbl 1055.65082Himoun, N.; Abbaoui, K.; Cherruault, Y. 7 2003 A simple method for optimization. Zbl 0503.49020Cherruault, Y.; Guillez, A. 7 1983 Une méthode pour la recherche du minimum global d’une fonctionnelle. Zbl 0525.65047Cherruault, Yves; Guillez, Arthur 7 1983 A computational approach to the wave equations: an application of the decomposition method. Zbl 1058.65112Inc, M.; Cherruault, Y.; Abbaoui, K. 7 2004 The existence of \(\alpha\)-dense curves with minimal length in a metric space. Zbl 0978.90091Ziadi, A.; Cherruault, Y.; Mora, G. 7 2000 A global optimization method for a large number of variables (variant of Alienor method). Zbl 1130.90401Konfé, Balira O.; Cherruault, Yves; Benneouala, Titem 7 2005 On the minimal length curve that densifies the square. Zbl 0945.65066Mora, Gaspar; Cherruault, Yves 6 1999 A nonperturbative analytical solution of immune response with time-delays and possible generalization. Zbl 0874.92021Adomian, G.; Cherruault, Y.; Abbaoui, K. 6 1996 A new approach to travelling wave solution of a fourth-order semilinear diffusion equation. Zbl 1059.65092Inç, M.; Cherruault, Y. 5 2003 Decomposition method applied to hydrology. Zbl 1094.76552Guellal, S.; Cherruault, Y.; Pujol, M. J.; Grimalt, P. 5 2000 A reliable approach to the Korteweg-de Vries equation. Zbl 1117.65358Inc, M.; Cherruault, Y. 5 2005 \(\alpha\)-dense curves and global optimization. Zbl 1069.90080Cherruault, Yves 4 2003 A new method for calculating multiple integrals. Zbl 1002.65031Cherruault, Yves; Mora, Gaspar; Tourbier, Yves 4 2002 Identification of exchange parameters in compartmental models. Zbl 0568.92002Cherruault, Y. 4 1983 Contribution to the identification of linear compartmental systems. Zbl 1067.93015Hebri, B.; Cherruault, Y. 4 2004 Biomathématiques. Zbl 0582.92001Cherruault, Yves 4 1983 Approximation of the solution for a class of first order p. d. e. by Adomian method. Zbl 1015.65054Khelifa, S.; Cherruault, Y. 4 2002 Approximating multiple integrals via \(\alpha\)-dense curves. Zbl 1041.65028Mora, G.; Cherruault, Y.; Benabidallah, A.; Tourbier, Y. 4 2002 Alienor-Gabriel global optimization of a function of several variables. Zbl 0752.90068Lavigne, D.; Cherruault, Y. 4 1991 On a reducing space-filling transformation: Application to global optimization. Zbl 0935.90039Cherruault, Yves 4 1997 A Taylor expansion approach using Faà di Bruno’s formula for solving nonlinear integral equations of the second and third kind. Zbl 1198.65252Ben Zitoun, Feyed; Cherruault, Yves 4 2009 Approximation d’opérateurs linéaires et applications. Zbl 0169.19601Cherruault, Y. 4 1968 Une méthode directe de minimisation et applications. Zbl 0211.46601Cherruault, Y. 4 1968 Direct identification of general linear compartmental systems by means of \((n-2)\) compartments measures. Zbl 1092.93003Hebri, B.; Cherruault, Y. 4 2005 Global optimization: the Alienor mixed method with Piyavskii-Shubert technique. Zbl 1130.90405Ziadi, Abdelkader; Guettal, Djaouida; Cherruault, Yves 4 2005 A new reducing transformation for global optimization (with Alienor method). Zbl 1130.90398Cherruault, Yves 4 2005 Approximation method error of multiple integrals by simple integrals. Zbl 1072.65030Benabidallah, A.; Cherruault, Y.; Tourbier, Y. 3 2003 A new algorithm for solving nonlinear boundary value problems. Zbl 1206.34022Ben Zitoun, Feyed; Cherruault, Yves 3 2009 New methods for applying the Adomian method to partial differential equations with boundary conditions. Zbl 1117.65356Benneouala, Titem; Cherruault, Yves; Abbaoui, Karim 3 2005 A comparison of numerical solutions of fourth-order boundary value problems. Zbl 1117.65347Inc, M.; Cherruault, Y. 3 2005 A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations. Zbl 1117.65369Inc, M.; Cherruault, Y. 3 2005 Alienor method for global optimization with a large number of variables. Zbl 1130.90397Benneouala, T.; Cherruault, Y. 3 2005 New results about the identifiability of linear open bicompartmental homogeneous system and the identification of open Michaelis-Menten system by a linear approach. Zbl 1092.93005Hebri, B.; Cherruault, Y. 3 2005 Approximation of multiple integrals by length of \(\alpha\)-dense curves. Zbl 1045.65022Benabidallah, A.; Cherruault, Y.; Mora, G. 2 2002 Approximation of multiple integrals by simple integrals. Zbl 0994.65023Benabidallah, A.; Cherruault, Y.; Tourbier, Y. 2 2001 Parameter identification of an HIV model by the combined Adomian/Alienor method. Zbl 1160.93348Manseur, S.; Messaoudi, N.; Cherruault, Y. 2 2006 Using the Adomian method for solving a class of boundary differential systems. Zbl 1058.65074Benabidallah, Mohamed; Cherruault, Yves 2 2004 A combinatorial study of the growing altitude elementary paths of the plane lattice \(Z^2\). Zbl 0934.05007Dachraoui, T.; Cherruault, Y.; Reiss, C. 2 1998 Alienor and Twone: A comparative study. Zbl 0935.90038Bendiab, O.; Cherruault, Y. 2 1997 Méthodes pour la recherche de points de selle. (Methods for finding saddle points). Zbl 0228.90056Cherruault, Yves; Loridan, Pierre 2 1971 Méthodes pour la recherche de points de selle. Zbl 0269.90041Cherruault, Y.; Loridan, P. 2 1973 Geometrical interpretation and approximate solution of nonlinear KdV equation. Zbl 1079.35085Bektas, M.; Inc, M.; Cherruault, Y. 2 2005 Solving constrained global optimization problems without penalty parameters. Zbl 1130.90402Konfe, Balira O.; Cherruault, Yves; Some, Blaise 2 2005 A new “optimization-preserving-operator” applied to global optimization. Zbl 1130.90403Konfe, Balira O.; Cherruault, Yves; Some, Blaise; Benneouala, Titem 2 2005 Coupling Adomian and spectral methods for obtaining a numerical solution of an optimal control problem in cancer research. Zbl 1130.49305Mampassi, Benjamin; Saley, Bisso; Somé, Blaise; Cherruault, Yves 2 2005 Optimal control of chemotherapy of HIV model using the coupled Adomian/Alienor methods. Zbl 1083.92021Manseur, S.; Attalah, K.; Cherruault, Y. 2 2005 A method for solving nonlinear differential equations. Zbl 1325.65181Ben Zitoun, Feyed; Cherruault, Yves 2 2010 Recherches biomathématiques. Méthodes et exemples. Zbl 0564.00035 1 1983 A six-compartment model to study the kinetics of \(^{14}C\)-labelled glucose. Zbl 0723.92010Cherruault, Y.; Sarin, V. B. 1 1991 A mathematical model of the histamine release. Zbl 0792.92009Guellal, S.; Cherruault, Y. 1 1993 Optimization and resolution algorithm of the human fetal blood circulation model. Zbl 0792.92010Guettouche, A.; Papapanayotou, C.; Cherruault, Y.; Azancot-Benisty, A.; Challier, J. C. 1 1993 Optimal control of cancer chemotherapy model using the coupled Adomian/Alienor methods. Zbl 1218.92048Manseur, S.; Cherruault, Y. 1 2006 Identification of a nonlinear polynomial compartmental system of \((\alpha+\beta)\) order by a linearization method. Zbl 1165.65043Hebri, B.; Cherruault, Y. 1 2006 A new universal method for solving all problems of operational research. Zbl 1128.93018Mazza, J. C.; Cherruault, Y.; Konfé, B.; Benneouala, T.; Mora, G. 1 2007 Integer optimization by \(\alpha\)-dense curves. Zbl 1132.93314Mora, G.; Cherruault, Y. 1 2007 Solving a class of linear partial differential equations with Dirichlet-boundary conditions by the Adomian method. Zbl 1058.65133Benabidallah, Mohamed; Cherruault, Yves 1 2004 Sur la convergence de la méthode d’Adomian. (On the convergence of Adomian’s method). Zbl 0647.90081Cherruault, Y. 1 1988 Methods for identification and control of models. Zbl 1003.68192Cherruault, Yves 1 2000 Solving frontier problems of physics by decomposition method: A new approach. Zbl 0933.65139Mavoungou, T.; Cherruault, Y. 1 1998 A new approach for thermic exchanges in oilwells drilling. Zbl 0760.35052Cherruault, Y.; Guillez, A.; Fery, J. J.; Marcassa, F. 1 1991 A method for solving nonlinear differential equations. Zbl 1325.65181Ben Zitoun, Feyed; Cherruault, Yves 2 2010 Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method. Zbl 1192.65115Yildirim, Ahmet; Cherruault, Yves 17 2009 A Taylor expansion approach using Faà di Bruno’s formula for solving nonlinear integral equations of the second and third kind. Zbl 1198.65252Ben Zitoun, Feyed; Cherruault, Yves 4 2009 A new algorithm for solving nonlinear boundary value problems. Zbl 1206.34022Ben Zitoun, Feyed; Cherruault, Yves 3 2009 A new universal method for solving all problems of operational research. Zbl 1128.93018Mazza, J. C.; Cherruault, Y.; Konfé, B.; Benneouala, T.; Mora, G. 1 2007 Integer optimization by \(\alpha\)-dense curves. Zbl 1132.93314Mora, G.; Cherruault, Y. 1 2007 Parameter identification of an HIV model by the combined Adomian/Alienor method. Zbl 1160.93348Manseur, S.; Messaoudi, N.; Cherruault, Y. 2 2006 Optimal control of cancer chemotherapy model using the coupled Adomian/Alienor methods. Zbl 1218.92048Manseur, S.; Cherruault, Y. 1 2006 Identification of a nonlinear polynomial compartmental system of \((\alpha+\beta)\) order by a linearization method. Zbl 1165.65043Hebri, B.; Cherruault, Y. 1 2006 A different approach for solving singular two-point boundary value problems. Zbl 1117.65348Inc, M.; Ergüt, M.; Cherruault, Y. 10 2005 A global optimization method for a large number of variables (variant of Alienor method). Zbl 1130.90401Konfé, Balira O.; Cherruault, Yves; Benneouala, Titem 7 2005 A reliable approach to the Korteweg-de Vries equation. Zbl 1117.65358Inc, M.; Cherruault, Y. 5 2005 Direct identification of general linear compartmental systems by means of \((n-2)\) compartments measures. Zbl 1092.93003Hebri, B.; Cherruault, Y. 4 2005 Global optimization: the Alienor mixed method with Piyavskii-Shubert technique. Zbl 1130.90405Ziadi, Abdelkader; Guettal, Djaouida; Cherruault, Yves 4 2005 A new reducing transformation for global optimization (with Alienor method). Zbl 1130.90398Cherruault, Yves 4 2005 New methods for applying the Adomian method to partial differential equations with boundary conditions. Zbl 1117.65356Benneouala, Titem; Cherruault, Yves; Abbaoui, Karim 3 2005 A comparison of numerical solutions of fourth-order boundary value problems. Zbl 1117.65347Inc, M.; Cherruault, Y. 3 2005 A reliable method for obtaining approximate solutions of linear and nonlinear Volterra-Fredholm integro-differential equations. Zbl 1117.65369Inc, M.; Cherruault, Y. 3 2005 Alienor method for global optimization with a large number of variables. Zbl 1130.90397Benneouala, T.; Cherruault, Y. 3 2005 New results about the identifiability of linear open bicompartmental homogeneous system and the identification of open Michaelis-Menten system by a linear approach. Zbl 1092.93005Hebri, B.; Cherruault, Y. 3 2005 Geometrical interpretation and approximate solution of nonlinear KdV equation. Zbl 1079.35085Bektas, M.; Inc, M.; Cherruault, Y. 2 2005 Solving constrained global optimization problems without penalty parameters. Zbl 1130.90402Konfe, Balira O.; Cherruault, Yves; Some, Blaise 2 2005 A new “optimization-preserving-operator” applied to global optimization. Zbl 1130.90403Konfe, Balira O.; Cherruault, Yves; Some, Blaise; Benneouala, Titem 2 2005 Coupling Adomian and spectral methods for obtaining a numerical solution of an optimal control problem in cancer research. Zbl 1130.49305Mampassi, Benjamin; Saley, Bisso; Somé, Blaise; Cherruault, Yves 2 2005 Optimal control of chemotherapy of HIV model using the coupled Adomian/Alienor methods. Zbl 1083.92021Manseur, S.; Attalah, K.; Cherruault, Y. 2 2005 Identification of closed Michaelis-Menten system by a linear approach. Zbl 1092.93004Hebri, B.; Cherruault, Y. 1 2005 Identification of an anticancerous drug model in brain tissues using Adomian/Alienor methods. Zbl 1077.92037Zaidi, Z.; Manseur, S.; Cherruault, Y.; Meulemans, A. 1 2005 Application of the Adomian method for solving a class of boundary problems. Zbl 1058.65075Benabidallah, Mohamed; Cherruault, Yves 15 2004 A computational approach to the wave equations: an application of the decomposition method. Zbl 1058.65112Inc, M.; Cherruault, Y.; Abbaoui, K. 7 2004 Contribution to the identification of linear compartmental systems. Zbl 1067.93015Hebri, B.; Cherruault, Y. 4 2004 Using the Adomian method for solving a class of boundary differential systems. Zbl 1058.65074Benabidallah, Mohamed; Cherruault, Yves 2 2004 Solving a class of linear partial differential equations with Dirichlet-boundary conditions by the Adomian method. Zbl 1058.65133Benabidallah, Mohamed; Cherruault, Yves 1 2004 Global optimization-preserving operators. Zbl 1063.90043Mora, G.; Cherruault, Y.; Benabidallah, A. 9 2003 New results on Adomian method. Zbl 1055.65082Himoun, N.; Abbaoui, K.; Cherruault, Y. 7 2003 A new approach to travelling wave solution of a fourth-order semilinear diffusion equation. Zbl 1059.65092Inç, M.; Cherruault, Y. 5 2003 \(\alpha\)-dense curves and global optimization. Zbl 1069.90080Cherruault, Yves 4 2003 Approximation method error of multiple integrals by simple integrals. Zbl 1072.65030Benabidallah, A.; Cherruault, Y.; Tourbier, Y. 3 2003 New numerical study of Adomian method applied to a diffusion model. Zbl 1011.65073Nagarhasta, N.; Some, B.; Abbaoui, K.; Cherruault, Y. 49 2002 A new approach to solve a diffusion-convection problem. Zbl 1015.65053Inc, M.; Cherruault, Y. 10 2002 A new method for calculating multiple integrals. Zbl 1002.65031Cherruault, Yves; Mora, Gaspar; Tourbier, Yves 4 2002 Approximation of the solution for a class of first order p. d. e. by Adomian method. Zbl 1015.65054Khelifa, S.; Cherruault, Y. 4 2002 Approximating multiple integrals via \(\alpha\)-dense curves. Zbl 1041.65028Mora, G.; Cherruault, Y.; Benabidallah, A.; Tourbier, Y. 4 2002 Approximation of multiple integrals by length of \(\alpha\)-dense curves. Zbl 1045.65022Benabidallah, A.; Cherruault, Y.; Mora, G. 2 2002 A new formulation of Adomian method convergenc result. Zbl 0994.65064Abbaoui, K.; Pujol, M. J.; Cherruault, Y.; Himoun, N.; Grimalt, P. 33 2001 Global optimization: A new variant of the Alienor method. Zbl 0980.90069Ziadi, A.; Cherruault, Y.; Mora, G. 16 2001 Approximation of multiple integrals by simple integrals. Zbl 0994.65023Benabidallah, A.; Cherruault, Y.; Tourbier, Y. 2 2001 Generation of \(\alpha\)-dense curves and application to global optimization. Zbl 0978.90090Ziadi, A.; Cherruault, Y. 17 2000 Functional equations generating space-densifying curves. Zbl 0954.39016Mora, G.; Cherruault, Y.; Ziadi, A. 16 2000 New results for the Adomian method. Zbl 0965.65087Khelifa, S.; Cherruault, Y. 11 2000 Convergence of Adomian’s method applied to algebraic equations. Zbl 0994.65054Ouedraogo, R. Z.; Cherruault, Y.; Abbaoui, K. 9 2000 The existence of \(\alpha\)-dense curves with minimal length in a metric space. Zbl 0978.90091Ziadi, A.; Cherruault, Y.; Mora, G. 7 2000 Decomposition method applied to hydrology. Zbl 1094.76552Guellal, S.; Cherruault, Y.; Pujol, M. J.; Grimalt, P. 5 2000 Methods for identification and control of models. Zbl 1003.68192Cherruault, Yves 1 2000 The decomposition method applied to the Cauchy problem. Zbl 0937.65074Abbaoui, K.; Cherruault, Y. 34 1999 New results of convergence of Adomian’s method. Zbl 0938.93019Himoun, N.; Abbaoui, K.; Cherruault, Y. 30 1999 Convergence of Adomian’s method applied to integral equations. Zbl 0938.93023Badredine, T.; Abbaoui, K.; Cherruault, Y. 20 1999 Optimization. Local and global methods. (Optimisation. Méthodes locales et globales.) Zbl 0928.49001Cherruault, Yves 17 1999 An approximation method for the optimization of continuous functions of \(n\) variables by densifying their domains. Zbl 0936.65068Mora, Gaspar; Cherruault, Yves 11 1999 On the minimal length curve that densifies the square. Zbl 0945.65066Mora, Gaspar; Cherruault, Yves 6 1999 Generation of \(\alpha\)-dense curves in a cube of \(\mathbb{R}^n\). Zbl 0933.65067Ziadi, A.; Cherruault, Y. 15 1998 Models and methods for life sciences. (Modèles et méthodes pour les sciences du vivant.) Zbl 0929.92003Cherruault, Yves 15 1998 The theoretic calculation time associated to \(\alpha\)-dense curves. Zbl 0935.65068Mora, Gaspar; Cherruault, Yves 12 1998 A combinatorial study of the growing altitude elementary paths of the plane lattice \(Z^2\). Zbl 0934.05007Dachraoui, T.; Cherruault, Y.; Reiss, C. 2 1998 Solving frontier problems of physics by decomposition method: A new approach. Zbl 0933.65139Mavoungou, T.; Cherruault, Y. 1 1998 Characterization and generation of \(\alpha\)-dense curves. Zbl 0893.90177Mora, G.; Cherruault, Y. 46 1997 Numerical study of Lorenz’s equation by the Adomian method. Zbl 0869.65044Guellal, S.; Grimalt, P.; Cherruault, Y. 19 1997 The resolution of nonlinear integral equations of the first kind using the decompositional method of Adomian. Zbl 0932.65142Cherruault, Yves; Seng, Virginie 13 1997 On a reducing space-filling transformation: Application to global optimization. Zbl 0935.90039Cherruault, Yves 4 1997 Alienor and Twone: A comparative study. Zbl 0935.90038Bendiab, O.; Cherruault, Y. 2 1997 Adomian’s polynomials for nonlinear operators. Zbl 0855.47041Seng, V.; Abbaoui, K.; Cherruault, Y. 48 1996 A nonperturbative analytical solution of immune response with time-delays and possible generalization. Zbl 0874.92021Adomian, G.; Cherruault, Y.; Abbaoui, K. 6 1996 New ideas for proving convergence of decomposition methods. Zbl 0832.47051Abbaoui, K.; Cherruault, Y. 143 1995 Practical formulae for the calculus of multivariable Adomian polynomials. Zbl 0830.65010Abbaoui, K.; Cherruault, Y.; Seng, V. 76 1995 Application of the decomposition method to identify the distributed parameters of an elliptical equation. Zbl 0822.65120Guellal, S.; Cherruault, Y. 13 1995 The decomposition method applied to differential systems. Zbl 0932.65081Abbaoui, K.; Cherruault, Y.; Ndour, M. 11 1995 Convergence of Adomian’s method applied to differential equations. Zbl 0809.65073Abbaoui, K.; Cherruault, Y. 187 1994 Convergence of Adomian’s method applied to nonlinear equations. Zbl 0822.65027Abbaoui, K.; Cherruault, Y. 98 1994 Numerical study of Fisher’s equation by Adomian’s method. Zbl 0799.65099Mavoungou, T.; Cherruault, Y. 35 1994 Global optimization in biology and medicine. Zbl 0808.92001Cherruault, Y. 13 1994 Decomposition methods: A new proof of convergence. Zbl 0805.65057Cherruault, Y.; Adomian, G. 208 1993 Approximation of a several variables function by a one variable function and application to global optimization. Zbl 0797.41029Ammar, H.; Cherruault, Y. 18 1993 A mathematical model of the histamine release. Zbl 0792.92009Guellal, S.; Cherruault, Y. 1 1993 Optimization and resolution algorithm of the human fetal blood circulation model. Zbl 0792.92010Guettouche, A.; Papapanayotou, C.; Cherruault, Y.; Azancot-Benisty, A.; Challier, J. C. 1 1993 New results for convergence of Adomian’s method applied to integral equations. Zbl 0756.65083Cherruault, Y.; Saccomandi, G.; Some, B. 126 1992 Convergence of Adomian’s method and applications to non-linear partial differential equations. Zbl 0801.35007Mavoungou, Théophile; Cherruault, Yves 34 1992 Alienor-Gabriel global optimization of a function of several variables. Zbl 0752.90068Lavigne, D.; Cherruault, Y. 4 1991 A six-compartment model to study the kinetics of \(^{14}C\)-labelled glucose. Zbl 0723.92010Cherruault, Y.; Sarin, V. B. 1 1991 A new approach for thermic exchanges in oilwells drilling. Zbl 0760.35052Cherruault, Y.; Guillez, A.; Fery, J. J.; Marcassa, F. 1 1991 Convergence of Adomian’s method. Zbl 0728.65056Cherruault, Y. 36 1990 A new method for global optimisation (Alienor). Zbl 0701.90083Cherruault, Y. 16 1990 Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson). Zbl 0711.65071Cherruault, Y.; Choubane, M.; Valleton, J. M.; Vincent, J. C. 8 1990 Modelling of enzyme membrane behaviour: Numerical stability conditions. Zbl 0701.92007Vincent, Jean-Claude; Valleton, Jean-Marc; Choubane, Mohammed; Cherruault, Yves 1 1990 Convergence of Adomian’s method. Zbl 0697.65051Cherruault, Yves 254 1989 Sur la convergence de la méthode d’Adomian. (On the convergence of Adomian’s method). Zbl 0647.90081Cherruault, Y. 1 1988 A simple method for optimization. Zbl 0503.49020Cherruault, Y.; Guillez, A. 7 1983 Une méthode pour la recherche du minimum global d’une fonctionnelle. Zbl 0525.65047Cherruault, Yves; Guillez, Arthur 7 1983 Identification of exchange parameters in compartmental models. Zbl 0568.92002Cherruault, Y. 4 1983 Biomathématiques. Zbl 0582.92001Cherruault, Yves 4 1983 Recherches biomathématiques. Méthodes et exemples. Zbl 0564.00035 1 1983 Résolution des équations d’un modèle de la respiration. Zbl 0437.92007Cherruault, Y.; Guillez, A. 1 1979 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 807 Authors 104 Cherruault, Yves 32 Kaya, Doǧan 30 Wazwaz, Abdul-Majid Abdul-Rahman 22 Momani, Shaher M. 21 Adomian, George 19 Mora, Gaspar 18 Rach, Randolph C. 17 Duan, Junsheng 16 Abbaoui, Karim 15 Dehghan Takht Fooladi, Mehdi 15 Inc, Mustafa 15 Singh, Randhir 14 Al-Khaled, Kamel M. 14 Babolian, Esmail 14 El-Sayed, Salah M. 12 Abbasbandy, Saeid 12 Biazar, Jafar 12 Hashim, Ishak 12 Paré, Youssouf 11 Khuri, Suheil A. 11 Some, Blaise 10 Daftardar-Gejji, Varsha 10 Jafari, Hossein 10 Kumar, Jitendra 10 Odibat, Zaid M. 9 Ziadi, Abdelkader 8 Deeba, Elias Y. 8 Lesnic, Daniel 7 González-Gaxiola, Oswaldo 7 Shawagfeh, Nabil T. 6 Al-Hayani, Waleed 6 Benabidallah, Abdelkader 6 Benneouala, Titem 6 El-Kalla, Ibrahim L. 6 Evans, David John 6 Javadi, Shahnam 6 Konfe, Balira O. 6 Nelakanti, Gnaneshwar 6 Noorani, Mohd Salmi Mohd 6 Ramos, Juan I. 6 Saha Ray, Santanu 6 Tatari, Mehdi 6 Yıldırım, Ahmet 5 Bildik, Necdet 5 Casasús, Luis 5 de la Sen, Manuel 5 El-Sayed, Ahmed Mohamed Ahmed 5 García López, Carmen María 5 García, Gonzalo A. 5 Grimalt, Pedro 5 Guellal, Saïd 5 Khelifa, Salim 5 Maleknejad, Khosrow 5 Manseur, Salah 5 Minoungou, Youssouf 5 Motsa, Sandile Sydney 5 Pujol, María José 4 Alonso Quesada, Santiago 4 Bera, Rasajit K. 4 Das, Subir 4 Ebaid, Abdelhalim 4 Eltayeb, Hassan 4 Gabet, Lionel 4 Jang, Bongsoo 4 Khaliq, Abdul Q. M. 4 Kiliçman, Adem 4 Makarov, Volodymyr Leonidovych 4 Meulemans, Alain 4 Słota, Damian 4 Tourbier, Yves 4 Vahidi, A. R. 4 Xie, Shishen 4 Ziada, E. A. A. 3 Abbo, Bakari 3 Allan, Fathi M. 3 Alquran, Marwan Taiseer 3 Ammar, Hamadi 3 Arafa, Anas. A. M. 3 Atangana, Abdon 3 Bakodah, Huda Omar 3 Băleanu, Dumitru I. 3 Ben Zitoun, Feyed 3 Benabidallah, Mohamed 3 Bernal-Jaquez, R. 3 Bougoffa, Lazhar 3 Chaolu, Temuer 3 Dang, Chuangyin 3 Datta, Barun Kumar 3 Dragunov, Denys V. 3 Gadain, Hassan Eltayeb 3 García-Olivares, Antonio 3 Gorguis, Alice 3 Gupta, Praveen Kumar 3 Hajji, Mohamed Ali 3 Hebri, Belkhaled 3 Hemeda, A. A. 3 Himoun, N. 3 Ibeas, Asier 3 Inan, Ibrahim E. 3 Jiao, Yongchang ...and 707 more Authors all top 5 Cited in 152 Serials 186 Applied Mathematics and Computation 94 Kybernetes 51 Computers & Mathematics with Applications 38 Mathematical and Computer Modelling 31 International Journal of Computer Mathematics 30 Journal of Computational and Applied Mathematics 24 Communications in Nonlinear Science and Numerical Simulation 18 International Journal of Applied and Computational Mathematics 17 Chaos, Solitons and Fractals 16 Applied Mathematical Modelling 14 Applied Mathematics Letters 13 Journal of Applied Mathematics and Computing 11 Mathematical Problems in Engineering 9 Journal of Mathematical Analysis and Applications 8 Journal of the Egyptian Mathematical Society 8 Advances in Differential Equations and Control Processes 7 Numerical Methods for Partial Differential Equations 7 Numerical Algorithms 6 Mathematics and Computers in Simulation 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 Journal of Mathematical Chemistry 6 Abstract and Applied Analysis 5 Mathematical Methods in the Applied Sciences 5 Advances in Difference Equations 5 International Journal for Numerical Methods in Biomedical Engineering 5 Computational Methods for Differential Equations 4 Journal of Computational Physics 4 Journal of Nonlinear Science and Applications 4 International Journal of Differential Equations 4 Mathematical Sciences 3 International Journal for Numerical Methods in Fluids 3 Physics Letters. 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Theory, Methods & Applications 2 International Journal of Advances in Applied Mathematics and Mechanics 2 AIMS Mathematics 1 Modern Physics Letters B 1 Computers and Fluids 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Physica A 1 Ukrainian Mathematical Journal 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Kyungpook Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 RAIRO. Analyse Numérique 1 Ricerche di Matematica 1 Optimal Control Applications & Methods 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Aequationes Mathematicae 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Advances in Engineering Software 1 Continuum Mechanics and Thermodynamics 1 Communications in Numerical Methods in Engineering 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Complexity ...and 52 more Serials all top 5 Cited in 46 Fields 545 Numerical analysis (65-XX) 269 Partial differential equations (35-XX) 182 Ordinary differential equations (34-XX) 101 Integral equations (45-XX) 71 Biology and other natural sciences (92-XX) 57 Real functions (26-XX) 53 Operations research, mathematical programming (90-XX) 50 Fluid mechanics (76-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 30 Systems theory; control (93-XX) 28 Operator theory (47-XX) 22 Approximations and expansions (41-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of deformable solids (74-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Special functions (33-XX) 9 Integral transforms, operational calculus (44-XX) 9 Geophysics (86-XX) 8 Computer science (68-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of particles and systems (70-XX) 6 Optics, electromagnetic theory (78-XX) 5 Combinatorics (05-XX) 5 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 4 Measure and integration (28-XX) 4 General topology (54-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX) Citations by Year