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Solutions of Nonlinear Problems: NEWTON-TYPE ITERATIVE METHODS FOR SYSTEMS OF NONLINEAR PROBLEMS - Softcover

 
9786208434908: Solutions of Nonlinear Problems: NEWTON-TYPE ITERATIVE METHODS FOR SYSTEMS OF NONLINEAR PROBLEMS

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The principal objective of this book is to construct iterative methods for the solution of systems of nonlinear problems arising from diverse fields. This manuscript spells out the formulation of iterative schemes for nonlinear equations, the system of nonlinear equations, nonlinear boundary value problems and nonlinear initial value problems in ordinary differential equations. First, we present a cubically convergent Newton type iterative method to obtain the numerical solution of nonlinear equations. This method is built by using a quadrature rule based on Haar wavelet. Then we propose a pair of Newton type methods to solve the system of nonlinear equations. The theoretical investigation shows that the proposed methods are of third and fifth order convergence respectively. We have also suggested a three-step numerical method with nineth order convergence to solve the system of nonlinear equations stemming out of Bratu-type nonlinear boundary value problems. We present an alternative numerical method to find the numerical solution of initial value problems. A new method is suggested for the numerical solution of nonlinear system of initial value problems.

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Mishra, Bijaya; Dutta, Salila
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ISBN 10: 6208434904 ISBN 13: 9786208434908
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Bijaya Mishra
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The principal objective of this book is to construct iterative methods for the solution of systems of nonlinear problems arising from diverse fields. This manuscript spells out the formulation of iterative schemes for nonlinear equations, the system of nonlinear equations, nonlinear boundary value problems and nonlinear initial value problems in ordinary differential equations. First, we present a cubically convergent Newton type iterative method to obtain the numerical solution of nonlinear equations. This method is built by using a quadrature rule based on Haar wavelet. Then we propose a pair of Newton type methods to solve the system of nonlinear equations. The theoretical investigation shows that the proposed methods are of third and fifth order convergence respectively. We have also suggested a three-step numerical method with nineth order convergence to solve the system of nonlinear equations stemming out of Bratu-type nonlinear boundary value problems. We present an alternative numerical method to find the numerical solution of initial value problems. A new method is suggested for the numerical solution of nonlinear system of initial value problems. 192 pp. Englisch. Seller Inventory # 9786208434908

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Bijaya Mishra
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Paperback. Condition: new. Paperback. The principal objective of this book is to construct iterative methods for the solution of systems of nonlinear problems arising from diverse fields. This manuscript spells out the formulation of iterative schemes for nonlinear equations, the system of nonlinear equations, nonlinear boundary value problems and nonlinear initial value problems in ordinary differential equations. First, we present a cubically convergent Newton type iterative method to obtain the numerical solution of nonlinear equations. This method is built by using a quadrature rule based on Haar wavelet. Then we propose a pair of Newton type methods to solve the system of nonlinear equations. The theoretical investigation shows that the proposed methods are of third and fifth order convergence respectively. We have also suggested a three-step numerical method with nineth order convergence to solve the system of nonlinear equations stemming out of Bratu-type nonlinear boundary value problems. We present an alternative numerical method to find the numerical solution of initial value problems. A new method is suggested for the numerical solution of nonlinear system of initial value problems. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9786208434908

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Bijaya Mishra
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ISBN 10: 6208434904 ISBN 13: 9786208434908
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Paperback. Condition: new. Paperback. The principal objective of this book is to construct iterative methods for the solution of systems of nonlinear problems arising from diverse fields. This manuscript spells out the formulation of iterative schemes for nonlinear equations, the system of nonlinear equations, nonlinear boundary value problems and nonlinear initial value problems in ordinary differential equations. First, we present a cubically convergent Newton type iterative method to obtain the numerical solution of nonlinear equations. This method is built by using a quadrature rule based on Haar wavelet. Then we propose a pair of Newton type methods to solve the system of nonlinear equations. The theoretical investigation shows that the proposed methods are of third and fifth order convergence respectively. We have also suggested a three-step numerical method with nineth order convergence to solve the system of nonlinear equations stemming out of Bratu-type nonlinear boundary value problems. We present an alternative numerical method to find the numerical solution of initial value problems. A new method is suggested for the numerical solution of nonlinear system of initial value problems. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9786208434908

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Bijaya Mishra
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The principal objective of this book is to construct iterative methods for the solution of systems of nonlinear problems arising from diverse fields. This manuscript spells out the formulation of iterative schemes for nonlinear equations, the system of nonlinear equations, nonlinear boundary value problems and nonlinear initial value problems in ordinary differential equations. First, we present a cubically convergent Newton type iterative method to obtain the numerical solution of nonlinear equations. This method is built by using a quadrature rule based on Haar wavelet. Then we propose a pair of Newton type methods to solve the system of nonlinear equations. The theoretical investigation shows that the proposed methods are of third and fifth order convergence respectively. We have also suggested a three-step numerical method with nineth order convergence to solve the system of nonlinear equations stemming out of Bratu-type nonlinear boundary value problems. We present an alternative numerical method to find the numerical solution of initial value problems. A new method is suggested for the numerical solution of nonlinear system of initial value problems.Books on Demand GmbH, Überseering 33, 22297 Hamburg 192 pp. Englisch. Seller Inventory # 9786208434908

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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The principal objective of this book is to construct iterative methods for the solution of systems of nonlinear problems arising from diverse fields. This manuscript spells out the formulation of iterative schemes for nonlinear equations, the system of nonlinear equations, nonlinear boundary value problems and nonlinear initial value problems in ordinary differential equations. First, we present a cubically convergent Newton type iterative method to obtain the numerical solution of nonlinear equations. This method is built by using a quadrature rule based on Haar wavelet. Then we propose a pair of Newton type methods to solve the system of nonlinear equations. The theoretical investigation shows that the proposed methods are of third and fifth order convergence respectively. We have also suggested a three-step numerical method with nineth order convergence to solve the system of nonlinear equations stemming out of Bratu-type nonlinear boundary value problems. We present an alternative numerical method to find the numerical solution of initial value problems. A new method is suggested for the numerical solution of nonlinear system of initial value problems. Seller Inventory # 9786208434908

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