Search Results - "Advanced Numerical and Semi-Analytical Methods for Differential Equations"

Finite Volume Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Finite volume method (FVM) is another widely used numerical technique. The fundamental conservation property of the FVM makes it the preferred method compared…”
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Finite Difference Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Finite difference methods are well‐known numerical methods to solve differential equations by approximating the derivatives using different difference…”
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Finite Element Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Finite element method (FEM) has wide applications in various science and engineering fields viz. structural mechanics, biomechanics and electromagnetic field…”
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Differential Quadrature Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…This chapter presents another effective numerical method that approximates the solution of the partial differential equations (PDEs) by functional values at…”
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Boundary Characteristics Orthogonal Polynomials by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Boundary characteristic orthogonal polynomials (BCOPs) may be generated by using the Gram‐Schmidt orthogonalization procedure. The generated BCOPs have…”
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Akbari–Ganji's Method by Dilleswar Rao, Tharasi, Mahato, Nisha, Karunakar, Perumandla, Chakraverty, Snehashish

“…Modeling of nonlinear differential equations analytically is rather more difficult compared to solving linear differential equations. In this regard, the…”
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Wavelet Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Wavelet method has been proven to be an efficient tool in analyzing dynamic systems and differential equations arising in other science and engineering…”
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Weighted Residual Methods by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Weighted residual method (WRM) is an approximation technique in which solution of differential equation is approximated by linear combination of trial or shape…”
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Exp‐Function Method by Dilleswar Rao, Tharasi, Mahato, Nisha, Karunakar, Perumandla, Chakraverty, Snehashish

“…This chapter explains the exp‐function method by which one can find the solution (analytical/semi‐analytical) of differential equations. This method was first…”
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Homotopy Perturbation Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Homotopy perturbation method (HPM) is a semi‐analytical technique for solving linear as well as nonlinear ordinary/partial differential equations. The…”
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Interval Finite Element Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Finite element method (FEM) combined with interval uncertainties are referred to as interval FEM which has already been used in various structural systems. On…”
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Boundary Element Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…This chapter presents a brief introduction of the boundary element method (BEM) along with a simple example problem for easy understanding of the method. To…”
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Differential Equations with Fuzzy Uncertainty by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…This chapter explains a system of fuzzy linear differential equations. Recently, a new technique using the triangular fuzzy numbers (TFNs) is illustrated to…”
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Preliminaries of Fractal Differential Equations by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Fractal analysis is a subject of great interest in various science and engineering applications, especially in computer graphics, architecture, medicine,…”
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Basic Numerical Methods by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…This chapter first briefly recapitulates the concepts of differential equations. A differential equation is a mathematical relation formulated among function,…”
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Adomian Decomposition Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…The Adomian decomposition method (ADM) is an efficient semi‐analytical technique used for solving linear and nonlinear differential equations. It…”
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Differential Equations with Interval Uncertainty by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Generally, differential equations are the backbone of various physical systems occurring in a wide variety of disciplines viz. physics, chemistry, biology,…”
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Variational Iteration Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…The variational iteration method (VIM) is one of the well‐known semi‐analytical methods for solving linear and nonlinear ordinary as well as…”
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Hybrid Methods by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Laplace transform method, Adomian decomposition method (ADM), and homotopy perturbation method (HPM) have been implemented for solving various types of…”
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Homotopy Analysis Method by Chakraverty, Snehashish, Mahato, Nisha, Karunakar, Perumandla, Dilleswar Rao, Tharasi

“…Homotopy analysis method (HAM) is one of the well‐known semi‐analytical methods for solving various types of linear and nonlinear differential…”
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