Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
Home > Mathematics and Science Textbooks > Mathematics > Mathematical foundations > Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

|
     0     
5
4
3
2
1




Out of Stock


Notify me when this book is in stock
About the Book

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.

Table of Contents:
Numerous Analytical and Numerical Methods. Introduction. Variational Iteration Method (VIM). First Integral Method (FIM). Homotopy Perturbation Method (HPM). Optimal Homotopy Asymptotic Method (OHAM). Homotopy Analysis Method (HAM). Haar Wavelets and the Operational Matrices. Legendre Wavelets. Chebyshev Wavelets. Hermite Wavelets. Numerical Solution of Partial Differential Equations by Haar Wavelet Method. Introduction. Outline of Present Study. Application of Haar Wavelet Method to Obtain Numerical Solution of Burgers’ Equation. Haar Wavelet Based Scheme for Modified Burgers’ Equation. Analytical and Numerical Methods for Solving Burgers-Huxley Equation. Application of Analytical and Numerical Methods for Solving Huxley Equation Numerical Solution of Generalized Modified KdV Equation. Error of Collocation Method. Error Analysis. Conclusion. Numerical Solution of System of Partial Differential Equations. Introduction. Overview of the Problem. Analytical Solution of System of Nonlinear PDEs. Convergence of HPM. Convergence of OHAM. Numerical Results and Discussion. A Numerical Approach to Boussinesq-Burgers’ Equations. Convergence of Haar Wavelet Approximation. Numerical Results. Conclusion. Numerical Solution of Fractional Differential Equations by Haar Wavelet Method. Introduction to Fractional Calculus. Fractional Derivative and Integration. Outline of the present study. Application of Analytical and Numerical Techniques to Fractional Burgers-Fisher Equation. Numerical Results for Fractional Burgers-Fisher Equation. Application of Analytical and Numerical Methods to Fractional Fisher’s Type Equation. Numerical Results for Fractional Fisher’s Equation. Solution of Fractional Fokker-Planck Equation. Numerical Results for Fractional Fokker-Planck Equation. Convergence Analysis of Two-dimensional Haar Wavelet Method. Conclusion.Application of Legendre Wavelet Methods for Numerical Solution of Fractional Differential Equations. Introduction. Outline of Present Study. Solution of time-Fractional Parabolic Partial Differential Equation. Numerical Results of Fractional order PDE. Implementation of Legendre Wavelets for Solving Fractionl KBK Equation. Numerical Results and Discussion of time-Fractiuonal KBK. Application of Analytical and Numerical Methods for Solving time-Fractional sKdV Equation. Numerical Results and Discussion of time-Fractiuonal sKdV Equation. Convergence of Legendre Wavelet. Solution of Fractional Kaup-Kupershmidt Equation Using Legendre Multiwavelets. Application of Analytical and Numerical Methods for Solving time-Fractional Kaup-Kupershmidt Equation. Numerical Results of Fractional Kaup-Kupershmidt Equation. Conclusion. Appliaction of Chebyshev Wavelet Methods for Numerical Simulation of Fractional Differential Equations. Introduction. Outline of Present Study. Formulation of Time-Fractional Sawada-Kotera Equation. Application of Analytical and Numerical Methods for Solving Fractional Sawada-Kotera Equation. Numerical Results of Fractional Sawada-Kaotera Equation. Application of Two-Dimensional Chebyshev Wavelet Method on time-Fractional Camassa-Holm Equation. Numerical Results and Discussion. Implemantation of Two-Dimensional Chebyshev Wavelet Method. For Approximate Solution of Riesz space-Fractional Sine-Gordon. Equation. Numerical Results and Discussion. Convergence Analysis of Chebyshev Wavelet. Conclusion. Appliaction of Hermite Wavelet Method for Numerical Simulation of Fractional Differential Equations. Introduction. Algorithm of Hermite Wavelet Method. Application of Analytical and Numerical Methods for Solving Nonlinear time-Fractional Modified Fornberg-Whitham Equation. Numerical Results and Discussion. Application of Analytical Methods to Determine the Exact Solutions of time-Fractional Modified Fornberg-Whitham Equation Numerical Results and Discussion. Application of Analytical and Numerical Methods for Solving time-Fractional Coupled Jaulent-Miodek Equations. Numerical Results and Discussion. Convergence of Hermite Wavelet. Conclusion. Implementation of Petrov-Galerkin Method for Solving FPDEs. Introduction. Implemantation of Petrov-Galerkin Method for Numerical Solution of time-Fractional KdV-Burgers Equation. Numerical Results and Discussion. Implemantation of Petrov-Galerkin Method for Numerical Solution of time-Fractional Sharma-Tasso-Olver Equation.Numerical Results and Discussion. Conclusion.


Best Sellers


Product Details
  • ISBN-13: 9781351682220
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman & Hall/CRC
  • Language: English
  • ISBN-10: 1351682229
  • Publisher Date: 12 Jan 2018
  • Binding: Digital (delivered electronically)


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
Taylor & Francis Ltd -
Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!